@ARTICLE{AV,
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      TITLE       = "Compactifying the space of stable maps",
      JOURNAL     = "Journal of the American Mathematical Society",
      YEAR        = "2002",
      VOLUME      = "15",
      PAGES       = "27-75",
      EPRINT      = "arXiv:math.AG/9908167"
                  }

@INCOLLECTION{Alexeev96,
     AUTHOR       = "V. Alexeev",
     TITLE        = "Moduli spaces $M_{g,n}(W)$ for surfaces",
     BOOKTITLE    = "Higher dimensional complex varieties ({T}rento, 1994)",
     PAGES        = "1--22",
     PUBLISHER    = "de {G}ruyter",
     YEAR         = "1996"
                  }

@ARTICLE{AKFano,
     AUTHOR       = "Allen Altman and Steven Kleiman",
     TITLE        = "Foundations of the theory of {F}ano schemes",
     JOURNAL      = "Compositio Math.",
     YEAR         = "1977",
     VOLUME       = "34",
     PAGES        = "3-47"
                  }
@BOOK{ACGH,
     AUTHOR       = "E. Arbarello and M. Cornalba and P. Griffiths and
                  J. Harris",  
     TITLE        = "Geometry of Algebraic Curves: Volume {I}",
     PUBLISHER    = "Springer-Verlag",
     YEAR         = "1985",
     SERIES       = "Grundlehren der mathematischen {W}issenschaften",
     VOLUME       = "267"
                  }

@incollection {Artin,
    AUTHOR = {Michael Artin},
     TITLE = {Algebraization of formal moduli. {I}},
 BOOKTITLE = {Global Analysis (Papers in Honor of K. Kodaira)},
     PAGES = {21--71},
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   ADDRESS = {Tokyo},
      YEAR = {1969},
           }

@INPROCEEDINGS{Barlet,
      AUTHOR      = "D. Barlet",
      TITLE       = "Espace analytique r\'eduit des cycles analytiques
                  complexes de dimension finie.",
      BOOKTITLE   = "S\'eminaire Norguet",
      PUBLISHER   = "Springer-Verlag",
      YEAR        = "1975",
      SERIES      = "Lecture Notes in Mathematics",
      VOLUME      = "482",
      PAGES       = "1--158"
                  }


@ARTICLE{BVdV,
      AUTHOR      = "W. Barth and A. Van de Ven",
      TITLE       = "{F}ano-varieties of lines on hypersurfaces",
      JOURNAL     = "Arch. Math.",
      VOLUME      = "31",
      YEAR        = "1978",
      PAGES       = "96-104"
                  }

@ARTICLE{BD,
      AUTHOR      = "Arnaud Beauville and Ron Donagi",
      TITLE       = "La vari\'et\'e des droites d'une hypersurface
                  cubique de dimension 4",  
      JOURNAL     = "C.R. Acad. Sc. Paris, S\'erie I",
      YEAR        = "1985",
      VOLUME      = "301",
      PAGES       = "703-706"
                  }

@UNPUBLISHED{Beheshti,
      AUTHOR      = "Roya Beheshti",
      TITLE       = "Lines on {F}ano hypersurfaces",
      YEAR        = "2003",
      NOTE        = "MIT PhD thesis"
                  }

@ARTICLE{B,
      AUTHOR      = "Kai Behrend",
      TITLE       = "Gromov-{W}itten invariants in algebraic geometry",
      JOURNAL     = "Inventiones Mathematica",
      YEAR        = "1997",
      VOLUME      = "127",
      PAGES       = "601-617",
      EPRINT      = "arXiv: math.AG/9601011"
                  }

@ARTICLE{BF,
      AUTHOR      = "Kai Behrend and Barbara Fantechi", 
      TITLE       = "The intrinsic normal cone",
      JOURNAL     = "Inventiones Mathematica",
      YEAR        = "1998",
      VOLUME      = "128",
      PAGES       = "45-88",
      EPRINT      = "arXiv:math.AG/961010"
                  }

@ARTICLE{BM,
      AUTHOR      = "Kai Behrend and Yuri Manin",
      TITLE       = "Stacks of stable maps and {G}romov-{W}itten invariants",
      JOURNAL     = "Duke Math Journal",
      YEAR        = "1996",
      VOLUME      = "85",
      PAGES       = "1-60",
      EPRINT      = "arXiv:math.AG/9506023"
                  }

@ARTICLE{Birman,
      AUTHOR      = "Joan Birman",
      TITLE       = "On braid groups",
      JOURNAL     = "Comm. Pure Appl. Math.",
      VOLUME      = "22",
      YEAR        = "1968",
      PAGES       = "41--72"
                  }

@BOOK{Ner,
      AUTHOR      = "Siegfried Bosch and Werner L{\"u}tkebohmert and
                     Michel Raynaud",
      TITLE       = "N\'eron Models",
      PUBLISHER   = "Springer-Verlag",
      YEAR        = "1990",
      VOLUME      = "21",
      SERIES      = "Ergebnisse der {M}athematik und ihrer {G}renzgebiete"
                  }

@UNPUBLISHED{Cadman,
      AUTHOR      = "Charles Cadman",
      TITLE       = "Using stacks to impose tangency conditions on curves",
      YEAR        = "2003",
      EPRINT      = "arXiv:math.AG/0312349 v1"
                  }

@ARTICLE{Ca,
      AUTHOR      = "Frederic Campana",
      TITLE       = "Connexit{\'e} rationnelle des vari{\'e}t{\'e}s de
                  {F}ano",  
      JOURNAL     = "Ann. Sc. E. N. S.",
      YEAR        = "1992",
      VOLUME      = "25",
      PAGES       = "539-545"
                  }

@ARTICLE{C91,
      AUTHOR      = "F. Campana",
      TITLE       = "On the twistor spaces of class $\mathcal{C}$",
      JOURNAL     = "J. Diff. Geom.",
      YEAR        = "1991",
      VOLUME      = "33",
      PAGES       = "541-549"
                  }

@article {C,
    AUTHOR = {Castravet, Ana-Maria},
     TITLE = {Rational families of vector bundles on curves},
   JOURNAL = {Internat. J. Math.},
  FJOURNAL = {International Journal of Mathematics},
    VOLUME = {15},
      YEAR = {2004},
    NUMBER = {1},
     PAGES = {13--45},
      ISSN = {0129-167X},
   MRCLASS = {14H60},
  MRNUMBER = {MR2039210},
}

@ARTICLE{Chevalley35,
      AUTHOR      = "C. Chevalley",
      TITLE       = "Demonstration d{'}une hypoth{\`e}se de
                  {E}. {A}rtin",
      JOURNAL     = "Abh. Math. Sem. Hansischen Univ.",
      VOLUME      = "11",
      YEAR        = "1975",
      PAGES       = "73"
                  }

@ARTICLE{Clebsch,
      AUTHOR      = "A. Clebsch",
      TITLE       = "Zur {T}heorie der {R}iemann'schen {F}lachen",
      JOURNAL     = "Mathematische Annalen",
      YEAR        = "1872",
      VOLUME      = "6",
      PAGES       = "216-230"
                  }

@ARTICLE{CG,
      AUTHOR      = "C. Herbert Clemens and Phillip A. Griffiths",
      TITLE       = "The Intermediate {J}acobian of the Cubic
                  Threefold",
      JOURNAL     = "Annals of Mathematics",
      YEAR        = "1972",
      VOLUME      = "95",
      PAGES       = "281--356"
                  }

@BOOK{GtoS,
      EDITOR      = "P. Colmez and J-P. Serre",
      TITLE       = "Correspondance Grothendieck-Serre",
      PUBLISHER   = "Soci\'et\'e Math. de France",
      YEAR        = "2001"
                  }

@UNPUBLISHED{CT,
      AUTHOR      = "J.-L. Colliot-Th\'{e}l\`{e}ne",
      TITLE       = "Die {B}rauersche {G}ruppe; ihre
                  {V}erallgemeinerungen und {A}nwendungen in der
                  {A}rithmetischen {G}eometrie",
      YEAR        = "2001",
      NOTE        = "preprint",
      URL         = "http://www.mah.u-psud.fr/~colliot/liste-prepub.html" 
                  }

@ARTICLE{Coombes,
      AUTHOR      = "K. Coombes",
      TITLE       = "Every rational surface is separably split",
      JOURNAL     = "Comment. Math. Helv.",
      YEAR        = "1988",
      VOLUME      = "63",
      PAGES       = "305--311"
                  }

@BOOK{CosDol,
      AUTHOR      = "Fran{\c{c}}ois Cossec and Igor Dolgachev",
      TITLE       = "Enriques Surfaces {I}",
      PUBLISHER   = "Birkh{\"{a}}user",
      YEAR        = "1989",
      SERIES      = "Progress in Mathematics",
      VOLUME      = "76"
                  }

@ARTICLE{Crew,
      AUTHOR      = "Richard Crew",
      TITLE       = "Etale $p$-covers in characteristic $p$",
      JOURNAL     = "Compositio Mathematica",
      YEAR        = "1984",
      VOLUME      = "52",
      PAGES       = "31-45"
                  }

@BOOK{CK,
      AUTHOR      = "David A. Cox and Sheldon Katz",
      TITLE       = "Mirror Symmetry and Algebraic Geometry",
      PUBLISHER   = "American Mathematical Society",
      YEAR        = "1999",
      VOLUME      = "68",
      SERIES      = "Mathematical Surveys"
                  }

@BOOK{De,
      AUTHOR      = "Olivier Debarre",
      TITLE       = "Higher-dimensional algebraic geometry",
      PUBLISHER   = "Springer-Verlag",
      YEAR        = "2001",
      SERIES      = "Universitext"
                  }

@article {DBX,
    AUTHOR = {Debarre, Olivier},
     TITLE = {Vari\'et\'es rationnellement connexes (d'apr\`es {T}.
              {G}raber, {J}. {H}arris, {J}. {S}tarr et {A}. {J}. de {J}ong)},
      NOTE = {S\'eminaire Bourbaki. Vol. 2001/2002},
   JOURNAL = {Ast\'erisque},
  FJOURNAL = {Ast\'erisque},
    NUMBER = {290},
      YEAR = {2003},
     PAGES = {Exp. No. 905, ix, 243--266},
      ISSN = {0303-1179},
   MRCLASS = {14M20 (14D06)},
  MRNUMBER = {MR2074059},
MRREVIEWER = {Luciana Picco Botta},
}

@ARTICLE{dJ,
      AUTHOR      = "A. J. de Jong",
      TITLE       = "The period-index problem for the {B}rauer group
                  of an algebraic surface",
      JOURNAL     = "Duke Math. J.",
      VOLUME      = "123",
      YEAR        = "2004",
      PAGES       = "71--94"
                  }

@ARTICLE{dJS,

      AUTHOR      = "A. J. de Jong and Jason Starr",
      TITLE       = "Every rationally connected variety over the
                  function field of a curve has a rational point",
      JOURNAL     = "Amer. J. Math.",
      VOLUME      = "125",
      YEAR        = "2003",
      PAGES       = "567--580"
                  }

@article{dJS2,
      AUTHOR     = "A. J. de Jong and J. Starr",
      TITLE      = "Cubic fourfolds and spaces of rational curves",
      JOURNAL    = "Illinois J. Math.",
      VOLUME     = "48",
      YEAR       = "2004",
      PAGES      = "415--450"
                 }

@UNPUBLISHED{dJS3,
      AUTHOR      = "A. J. de Jong and J. Starr",
      YEAR        = "2005",
      TITLE       = "Divisor classes and the virtual canonical bundle",
      NOTE        = "preprint",
      URL         = "http://www-math.mit.edu/~jstarr/papers/index.html"  
                  }

@ARTICLE{DM,
      AUTHOR      = "P. Deligne and D. Mumford",
      TITLE       = "The irreducibility of the space of curves of
                  given genus",
      JOURNAL     = "Publ. Math. IHES",
      VOLUME      = "36",
      YEAR        = "1969",
      PAGES       = "75-110"
                  }

@ARTICLE {EGA,
    AUTHOR = {Jean Dieudonn\'e and Alexandre Grothendieck},
     TITLE = {\'{E}l\'ements de g\'eom\'etrie alg\'ebrique},
   JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
    VOLUME = {4, 8, 11, 17, 20, 24, 28, 32},
      YEAR = {1961-1967},
           }

@article {EMY,
    AUTHOR = {Ein, Lawrence and Musta{\c{t}}{\u{a}}, Mircea and Yasuda,
              Takehiko},
     TITLE = {Jet schemes, log discrepancies and inversion of adjunction},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {153},
      YEAR = {2003},
    NUMBER = {3},
     PAGES = {519--535},
      ISSN = {0020-9910},
     CODEN = {INVMBH},
   MRCLASS = {14E30 (14E05 14E15 14N30)},
  MRNUMBER = {MR2000468 (2004f:14028)},
MRREVIEWER = {Shihoko Ishii},
    EPRINT = "arXiv:math.AG/0209392"
}

@ARTICLE{EHKV,
      AUTHOR      = "Dan Edidin and Brendan Hassett and Andrew Kresch and
                  Angelo Vistoli",
      TITLE       = "Brauer groups and quotient stacks",
      JOURNAL     = "American Journal of Mathematics",
      YEAR        = "2001",
      VOLUME      = "123",
      PAGES       = "761-777",
      EPRINT      = "arXiv:math.AG/9905049"
                  }

@article {MR2102399,
    AUTHOR = {Ein, Lawrence and Musta{\c{t}}{\v{a}}, Mircea},
     TITLE = {Inversion of adjunction for local complete intersection
              varieties},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {126},
      YEAR = {2004},
    NUMBER = {6},
     PAGES = {1355--1365},
      ISSN = {0002-9327},
     CODEN = {AJMAAN},
   MRCLASS = {14Cxx (14Mxx)},
  MRNUMBER = {MR2102399},
    EPRINT = "arXiv:math.AG/0301164"
}

@BOOK{E,
      AUTHOR      = "David Eisenbud",
      TITLE       = "Commutative Algebra",
      PUBLISHER   = "Springer-Verlag",
      YEAR        = "1995",
      VOLUME      = "150",
      SERIES      = "Graduate Texts in Mathematics"
                  }

@article {MR1943746,
    AUTHOR = {Esnault, H{\'e}l{\`e}ne},
     TITLE = {Varieties over a finite field with trivial {C}how group of
              0-cycles have a rational point},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {151},
      YEAR = {2003},
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      ISSN = {0020-9910},
     CODEN = {INVMBH},
   MRCLASS = {14C25 (14F30 14G05 14G15)},
  MRNUMBER = {MR1943746 (2004e:14015)},
MRREVIEWER = {Jean-Claude Douai},
    EPRINT = "arXiv:math.AG/0207022"
}

@article {MR1887119,
    AUTHOR = {Fantechi, B. and Pandharipande, R.},
     TITLE = {Stable maps and branch divisors},
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    VOLUME = {130},
      YEAR = {2002},
    NUMBER = {3},
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      ISSN = {0010-437X},
     CODEN = {CMPMAF},
   MRCLASS = {14H10},
  MRNUMBER = {MR1887119 (2003a:14039)},
MRREVIEWER = {Joachim Kock},
    EPRINT = "arXiv: math.AG/9905104"
}

@ARTICLE{F69,
      AUTHOR      = "William Fulton",
      TITLE       = "Hurwitz schemes and moduli of curves",
      JOURNAL     = "Annals of Mathematics",
      YEAR        = "1969",
      VOLUME      = "90",
      PAGES       = "542-575"
                  }

@BOOK{F,
      AUTHOR      = "William Fulton",
      TITLE       = "Intersection Theory",
      PUBLISHER   = "Springer-Verlag",
      YEAR        = "1998",
      VOLUME      = "2",
      SERIES      = "Ergebnisse der {M}athematik und ihrer {G}renzgebiete,
                  3. Folge",
      EDITION     = "2"
                  }

@BOOK{FH,
      AUTHOR      = "William Fulton and Joe Harris",
      TITLE       = "Representation Theory, a First Course",
      PUBLISHER   = "Springer-Verlag",
      YEAR        = "1991",
      VOLUME      = "129",
      SERIES      = "Graduate Texts in Mathematics"
                  }

@INCOLLECTION{FP,
      AUTHOR      = "William Fulton and Rahul Pandaharipande",
      TITLE       = "Notes on stable maps and quantum cohomology",
      BOOKTITLE   = "Algebraic geometry -- Santa Cruz 1995",
      PUBLISHER   = "American Mathematical Society",
      YEAR        = "1995",
      PAGES       = "45-96",
      EPRINT      = "arXiv:math.AG/9608011"
                  }

@ARTICLE{GibKM,
      AUTHOR      = "A. Gibney and S. Keel and I. Morrison",
      TITLE       = "Towards the ample cone of moduli spaces of stable
                  curves", 
      JOURNAL     = "J. Amer. Math. Soc.",
      VOLUME      = "15",
      PAGES       = "273--294",
      YEAR        = "2002",
      EPRINT      = "arXiv:math.AG/0006208"  
                  }

@INCOLLECTION{GE,
      AUTHOR      = "L. G{\"o}ttsche and G. Ellingsrud",
      TITLE       = "Hilbert schemes of points and {H}eisenberg
                  algebras",
      BOOKTITLE   = "School on Algebraic Geometry ({T}rieste, 1999)",
      PUBLISHER   = "Abdus Salam Int. Cent. Theoret. Phys.",
      YEAR        = "2000",
      PAGES       = "59-100"
                  }

@BOOK{GM,
      AUTHOR      = "Mark Goresky and Robert MacPherson",
      TITLE       = "Stratified {M}orse theory",
      PUBLISHER   = "Springer-Verlag",
      YEAR        = "1988",
      VOLUME      = "14",
      SERIES      = "Ergebnisse der Mathematik"
                  }

@ARTICLE{GHS,
      AUTHOR      = "Tom Graber and Joe Harris and Jason Starr",
      TITLE       = "Families of rationally connected varieties",
      JOURNAL     = "J. Amer. Math. Soc.",
      VOLUME      = "16",
      YEAR        = "2003",
      PAGES       = "57--67",
                  }

@UNPUBLISHED{GHS2,
      AUTHOR      = "Tom Graber and Joe Harris and Jason Starr",
      TITLE       = "A note on {H}urwitz schemes of covers of a
                  positive genus curve",
      NOTE        = "preprint",
      YEAR        = "2002",
      EPRINT      = "arXiv:math.AG/0205056"
                  }

@UNPUBLISHED{GHMS, 
      AUTHOR = "Tom Graber and Joe Harris and Barry Mazur
                and Jason Starr", 
      TITLE  = "Rational connectivity and sections of
                families over curves",
      YEAR   = "2002",  
      NOTE   = "submitted Ann. Sci. Ecole Norm. Sup.",
      eprint = "arXiv:math.AG/0210225" 
              }

@incollection{GHMS2,
      AUTHOR      = "Tom Graber and Joe Harris and Barry Mazur and
                  Jason Starr",
      TITLE       = "Arithmetic questions related to rationally
                  connected varieties", 
      BOOKTITLE   = "The legacy of {N}iels {H}enrik {A}bel, {T}he {A}bel
                  {B}icentennial, {O}slo 2002",
      PAGES       = "531--542",
      PUBLISHER   = "Springer-Verlag",
      ADDRESS     = "Berlin",
      YEAR        = "2004" 
                  }

@incollection {GHMS3,
    AUTHOR = {Graber, Tom and Harris, Joseph and Mazur, Barry and Starr,
              Jason},
     TITLE = {Jumps in {M}ordell-{W}eil rank and arithmetic surjectivity},
 BOOKTITLE = {Arithmetic of higher-dimensional algebraic varieties (Palo
              Alto, CA, 2002)},
    SERIES = {Progr. Math.},
    VOLUME = {226},
     PAGES = {141--147},
 PUBLISHER = {Birkh\"auser Boston},
   ADDRESS = {Boston, MA},
      YEAR = {2004}
              }

@ARTICLE{P2,
      AUTHOR      = "Phillip A. Griffiths",
      TITLE       = "Periods of Integrals on Algebraic Manifolds, {II}",
      JOURNAL     = "American Journal of Mathematics",
      YEAR        = "1968",
      VOLUME      = "90",
      PAGES       = "805--865"
                  }

@ARTICLE{GR,
      AUTHOR      = "Phillip A. Griffiths",
      TITLE       = "On the Periods of Certain Rational Integrals, {I}",
      JOURNAL     = "Annals of Mathematics",
      YEAR        = "1969",
      VOLUME      = "90",
      PAGES       = "496-541"
                  }

@INCOLLECTION{VHS,
      AUTHOR      = "Phillip A. Griffiths",
      TITLE       = "Variations of {H}odge structure",
      BOOKTITLE   = "Topics in Transcendental Algebraic Geometry",
      PUBLISHER   = "Annals of Mathematics",
      YEAR        = "1984",
      VOLUME      = "106",
      SERIES      = "Annals of Mathematics Studies",
      CHAPTER     = "1"
                  }

@BOOK{GH,
      AUTHOR      = "Phillip A. Griffiths and Joseph Harris",
      TITLE       = "Principles of Algebraic Geometry",
      PUBLISHER   = "John Wiley and Sons",
      YEAR        = "1978",
      SERIES      = "Pure and Applied Mathematics"
                  }

@BOOK{EGA1,
      AUTHOR      = "Alexandre Grothendieck and Jean Dieudonn\'{e}",
      TITLE       = "{\'E}l{\'e}ments de g{\'e}om{\'e}trie alg{\'e}brique. I",
      PUBLISHER   = "Institute des {H}autes {\'E}tudes
                  {S}cientifiques.",
      YEAR        = "1960",
      SERIES      = "Publications {M}ath{\'e}matiques",
      VOLUME      = "4"
                  }
      
@BOOK{EGA2,
      AUTHOR      = "Alexandre Grothendieck and Jean Dieudonn\'{e}",
      TITLE       = "{\'E}l{\'e}ments de g{\'e}om{\'e}trie alg{\'e}brique. II",
      PUBLISHER   = "Institute des {H}autes {\'E}tudes
                  {S}cientifiques.",
      YEAR        = "1961",
      SERIES      = "Publications {M}ath{\'e}matiques",
      VOLUME      = "8"
                  }
     
@BOOK{EGA3,
      AUTHOR      = "Alexandre Grothendieck and Jean Dieudonn\'{e}",
      TITLE       = "{\'E}l{\'e}ments de g{\'e}om{\'e}trie
                  alg{\'e}brique. III",  
      PUBLISHER   = "Institute des {H}autes {\'E}tudes
                  {S}cientifiques.",
      YEAR        = "1961--1963",
      SERIES      = "Publications {M}ath{\'e}matiques",
      VOLUME      = "11, 17"
                  }

@BOOK{EGA4,
      AUTHOR      = "Alexandre Grothendieck and Jean Dieudonn\'{e}",
      TITLE       = "{\'E}l{\'e}ments de g{\'e}om{\'e}trie alg{\'e}brique. IV",
      PUBLISHER   = "Institute des {H}autes {\'E}tudes
                  {S}cientifiques.",
      YEAR        = "1964-1967",
      SERIES      = "Publications {M}ath{\'e}matiques",
      VOLUME      = "20, 24, 28, 32"
                  }

@BOOK{FGA,
      AUTHOR      = "Alexandre Grothendieck",
      TITLE       = "Fondements de la g{\'e}om{\'e}trie
                  alg{\'e}brique",
      PUBLISHER   = "Secr{\'e}tariat math{\'e}matique",
      YEAR        = "1962"
                  }


@BOOK{SGA1,
      AUTHOR      = "Alexandre Grothendieck",
      TITLE       = "Rev\^etements etales et groupe fondamental (SGA 1)",
      PUBLISHER   = "Springer-Verlag",
      YEAR        = "1971",
      SERIES      = "Lecture notes in mathematics",
      VOLUME      = "224"
                  }

@BOOK{SGA2,
      AUTHOR      = "Alexandre Grothendieck",
      TITLE       = "Cohomologie locale des faisceaux coh{\'e}rents
                  ... (SGA 2)",  
      PUBLISHER   = "North-{H}olland {P}ublishing {C}o.",
      YEAR        = "1968",
      SERIES      = "Advanced Studies in Pure Mathematics",
      VOLUME      = "2"
                  }

@BOOK{SGA4,
      AUTHOR      = "M. Artin, A. Grothendieck, J.L. Verdier",
      TITLE       = "Theorie de Topos et Cohomologie Etale des Schemas I, II, III",  
      PUBLISHER   = "Springer",
      YEAR        = "1971",
      SERIES      = "Lecture Notes in Mathematics",
      VOLUME      = "269, 270, 305"
                  }

@BOOK{SGA6,
      AUTHOR      = "P. Berthelot and A. Grothendieck and L. Illusie",
      TITLE       = "Th{\'e}orie des {I}ntersections et
                  {T}h{\'e}or{\`e}me de {R}iemann-{R}och",
      PUBLISHER   = "Springer-Verlag",
      YEAR        = "1971",
      SERIES      = "Lecture notes in mathematics",
      VOLUME      = "225"
                  }

@ARTICLE{GruRay,
      AUTHOR      = "L. Gruson and M. Raynaud",
      TITLE       = "Crit\`{e}res de platitude et de projectivit\'{e}",
      JOURNAL     = "Invent. math.",
      VOLUME      = "13",
      YEAR        = "1971",
      PAGES       = "1--89"
                  }

@ARTICLE{HMP,
      AUTHOR      = "Joe Harris and Barry Mazur and Rahul Pandharipande",
      TITLE       = "Hypersurfaces of low degree",
      JOURNAL     = "Duke Math. J.",
      YEAR        = "1998",
      VOLUME      = "95",
      PAGES       = "125--160"
                  }

@BOOK{HarrMorr,
      AUTHOR      = "J. Harris and I. Morrison",
      TITLE       = "Moduli of curves",
      PUBLISHER   = "Springer-Verlag",
      SERIES      = "Graduate Texts in Mathematics",
      VOLUME      = "187",
      YEAR        = "1998"
                  }

@ARTICLE{HM,
      AUTHOR      = "J. Harris and D. Mumford",
      TITLE       = "On the {K}odaira dimension of the moduli space of curves",
      JOURNAL     = "Invent. Math.",
      VOLUME      = "67",
      YEAR        = "1982",
      PAGES       = "23--86"
                  }



@UNPUBLISHED{HRS1,
      AUTHOR      = "Joseph Harris and Mike Roth and Jason Starr",
      TITLE       = "Curves of Small Degree on Cubic Threefolds",
      NOTE        = "to appear in Rocky Mountain Journal of Math.",
      YEAR        = "2002",
      eprint      = "arXiv: math.AG/0202067"
                  }

@article {HRS2,
    AUTHOR = {Harris, Joe and Roth, Mike and Starr, Jason},
     TITLE = {Rational curves on hypersurfaces of low degree},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
    VOLUME = {571},
      YEAR = {2004},
     PAGES = {73--106}
           }



@UNPUBLISHED{HRS3,
      AUTHOR      = "Joseph Harris and Mike Roth and Jason Starr",
      YEAR        = "2002",
      TITLE       = "{A}bel-{J}acobi maps associated to smooth cubic
                  threefolds", 
      NOTE        = "submitted Journal of Alg. Geom.", 
      eprint      = "ar{X}iv:math.AG/0202080" 
                  }

@UNPUBLISHED{HS,
      AUTHOR      = "Joseph Harris and Jason Starr",
      TITLE       = "Rational curves on blow-ups of projective space",
      NOTE        = "in preparation"
                  }

@article {HS2,
    AUTHOR = {Harris, Joe and Starr, Jason},
     TITLE = {Rational curves on hypersurfaces of low degree. {II}},
   JOURNAL = {Compos. Math.},
  FJOURNAL = {Compositio Mathematica},
    VOLUME = {141},
      YEAR = {2005},
    NUMBER = {1},
     PAGES = {35--92},
      ISSN = {0010-437X},
   MRCLASS = {14H10 (14E08)},
  MRNUMBER = {MR2099769},
    eprint = "arXiv:math.AG/0207257"
}

@ARTICLE{HarTsch,
      AUTHOR      = "J. Harris and Y. Tschinkel",
      TITLE       = "Rational points on quartics",
      JOURNAL     = "Duke Math. J.",
      VOLUME      = "104",
      YEAR        = "2000",
      PAGES       = "477--500"
                  }

@BOOK{H,
      AUTHOR      = "Robin Hartshorne",
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      VOLUME      = "52",
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@BOOK{R+D,
      AUTHOR      = "R. Hartshorne",
      TITLE       = "Residues and Duality, Lecture notes of a seminar
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      YEAR        = "1966",
      PUBLISHER   = "Springer-Verlag",
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@ARTICLE{Has,
      AUTHOR      = "Brendan Hassett",
      TITLE       = "Special Cubic Fourfolds",
      JOURNAL     = "Compositio Mathematica",
      YEAR        = "2000",
      VOLUME      = "120",
      PAGES       = "1--23"
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@ARTICLE{Has2,
      AUTHOR     = "Brendan Hassett",
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      YEAR       = "1999",
      PAGES      = "103--114"
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@article {HT03,
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      JOURNAL     = "Mathematische Annalen",
      YEAR        = "1891",
      VOLUME      = "39",
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@BOOK{Iitaka,
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@ARTICLE{AM,
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      JOURNAL     = "Documenta Mathematica",
      YEAR        = "2000",
      VOLUME      = "5",
      PAGES       = "23--47",
      EPRINT      = "arXiv:math.AG/9910058"
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@INCOLLECTION{ItoNak,
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      VOLUME     = "264",
      SERIES     = "London Math. Soc. Lecture Notes Ser."
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@BOOK{Jou,
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      YEAR       = "1983",
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@UNPUBLISHED{Kanev,
      AUTHOR     = "Vassil Kanev", 
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@INCOLLECTION{Katz,
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      YEAR       = "1973",
      VOLUME     = "340",
      SERIES     = "Lecture Notes in Math."
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@ARTICLE{Kausz,
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      YEAR       = "2000",
      VOLUME     = "5",
      PAGES      = "553-594"
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@ARTICLE{Kaw,
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      YEAR       = "1983",
      VOLUME     = "1",
      PAGES      = "1--24"
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@incollection {Kaw97,
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@UNPUBLISHED{Keel-McK,
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      NOTE       = "preprint", 
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@INCOLLECTION{Klu,
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@BOOK{K+92,
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      PAGES       = "221--287"
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@ARTICLE{KMM,
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      YEAR        = "1992",
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@INCOLLECTION{Kv,
      AUTHOR      = "Maxim Kontsevich",
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      PUBLISHER   = "Birkh{\"a}user",
      YEAR        = "1995",
      PAGES       = "335-368",
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@ARTICLE{Lafforgue,
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      PAGES       = "37-62",
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@BOOK{Matsuki,
      AUTHOR      = "Kenji Matsuki",
      TITLE       = "Introduction to the {M}ori program",
      PUBLISHER   = "Springer-Verlag",
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@BOOK{Ma,
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      YEAR        = "1986",
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@INPROCEEDINGS{Morin40,
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@ARTICLE{RE,
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      TITLE       = "Rational equivalence of 0-cycles on surfaces",
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      YEAR        = "1968",
      VOLUME      = "9",
      PAGES       = "195--204"
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@BOOK{AVar,
      AUTHOR      = "David Mumford",
      TITLE       = "Abelian varieties",
      PUBLISHER   = "Oxford University Press",
      YEAR        = "1970",
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      VOLUME      = "5"
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@BOOK{Mum,
      AUTHOR      = "David Mumford",
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      PUBLISHER   = "Princeton University Press",
      YEAR        = "1966",
      VOLUME      = "59",
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@BOOK{GIT,
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      PUBLISHER   = "Springer-Verlag",
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      VOLUME      = "34",
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@BOOK{RB,
      AUTHOR      = "David Mumford",
      TITLE       = "The Red Book of Varieties and Schemes",
      PUBLISHER   = "Springer-Verlag",
      YEAR        = "1988",
      VOLUME      = "1358",
      SERIES      = "Lecture Notes in Mathematics"
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@BOOK{M,
      AUTHOR      = "David Mumford",
      TITLE       = "The Red Book of Varieties and Schemes",
      PUBLISHER   = "Springer-Verlag",
      YEAR        = "1988",
      VOLUME      = "1358",
      SERIES      = "Lecture Notes in Mathematics"
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@article {PathII,
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@ARTICLE{Nak,
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      TITLE       = "Hilbert schemes of abelian group orbits",
      JOURNAL     = "Journal of Algebraic Geometry",
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      YEAR        = "2001",
      PAGES       = "757-779"
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@ARTICLE{Nyg,
      AUTHOR      = "Niels Nygaard",
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      YEAR        = "44",
      VOLUME      = "1978",
      PAGES       = "75-86"
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@book {OSS,
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     TITLE = {Vector bundles on complex projective spaces},
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     PAGES = {vii+389},
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   MRCLASS = {14-02 (14D20 14F05 32G13 81C30)},
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MRREVIEWER = {Werner Kleinert}
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@UNPUBLISHED{OHom,
      AUTHOR      = "Martin Olsson",
      YEAR        = "2005",
      TITLE       = "Hom stacks and restriction of scalars",
      NOTE        = "preprint",
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@ARTICLE{OS,
      AUTHOR      = "Martin Olsson and Jason Starr",
      TITLE       = "Quot functors for {D}eligne-{M}umford stacks",
      JOURNAL     = "Comm. Algebra",
      VOLUME      = "31",
      YEAR        = "2003",
      PAGES       = "4069--4096"
                  }

@ARTICLE{Pand97,
      AUTHOR      = "R. Pandharipande",
      TITLE       = "The canonical class of
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                  enumerative geometry",
      JOURNAL     = "Internat. Math. Res. Notices",
      YEAR        = 1997,
      VOLUME      = 4,
      PAGES       = "173-186"
                  }

@ARTICLE{QDiv,
      AUTHOR      = "Rahul Pandharipande",
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      JOURNAL     = "Trans. Amer. Math. Soc.",
      VOLUME      = "351",
      YEAR        = "1999",
      PAGES       = "1481-1505"
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@ARTICLE{Paranjape, 
      AUTHOR      = "K. Paranjape",
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      VOLUME      = "139",
      YEAR        = "1994",
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@article {PieneSchl,
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              twisted cubics},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {107},
      YEAR = {1985},
    NUMBER = {4},
     PAGES = {761--774},
      ISSN = {0002-9327},
     CODEN = {AJMAAN},
   MRCLASS = {14C05 (14H10)},
  MRNUMBER = {MR796901 (86m:14004)},
MRREVIEWER = {Susan J. Colley},
}

@ARTICLE{Predonzan49,
      AUTHOR      = "A. Predonzan",
      TITLE       = "Sull{'} unirationalit{\`a} della variet{\`a}
                  intersezione completa di pi{\`u} forme",
      JOURNAL     = "Rend. Sem. Math. Padova",
      YEAR        = "1949",
      VOLUME      = "18",
      PAGES       = "161--176"
                  }

@article {Raynaud,
    AUTHOR = {Raynaud, M.},
     TITLE = {Sp\'ecialisation du foncteur de {P}icard},
   JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
    VOLUME = {38},
      YEAR = {1970},
     PAGES = {27--76}
           }
%    MRCLASS = {14.55},
%   MRNUMBER = {44 \#227},
% MRREVIEWER = {R. T. Hoobler},
% }

@INCOLLECTION{Reid80,
      AUTHOR      = "Miles Reid",
      TITLE       = "Canonical threefolds",
      BOOKTITLE   = "G\'{e}om\'{e}trie {A}lg\'{e}brique Angers",
      EDITOR      = "A. Beauville",
      PUBLISHER   = "Sijthoff and {N}oordhoff",
      YEAR        = "1980",
      PAGES       = "273--310"
                  }

@INCOLLECTION{YPGS,
      AUTHOR      = "Miles Reid",
      TITLE       = "Young person's guide to singularities",
      BOOKTITLE   = "Algebraic {G}eometry--{B}owdoin 1985",
      EDITOR      = "Spencer Bloch",
      PUBLISHER   = "AMS",
      YEAR        = "1987",
      PAGES       = "345--414"
                  }

@ARTICLE{Sch,
    AUTHOR = {Michael Schlessinger},
     TITLE = {Functors of {A}rtin rings},
   JOURNAL = {Trans. Amer. Math. Soc.},
    VOLUME = {130},
      YEAR = {1968},
     PAGES = {208--222}
}

@BOOK{Sernesi,
      AUTHOR      = "Edoardo Sernesi",
      TITLE       = "Topics on families of projective varieties",
      PUBLISHER   = "Queen's University",
      YEAR        = "1986",
      SERIES      = "Queen's Papers in Pure and Applied Mathematics",
      VOLUME      = "73"
                  }

@ARTICLE{Shioda,
      AUTHOR      = "Tetsuji Shioda",
      TITLE       = "Some results on unirationality of algebraic
                  surfaces", 
      JOURNAL     = "Mathematische Annalen",
      YEAR        = "1977",
      VOLUME      = "230",
      PAGES       = "153-168"
                  }

@INCOLLECTION{Simpson,
      AUTHOR      = "C. Simpson",
      TITLE       = "Nonabelian {H}odge theory",
      BOOKTITLE   = "Proceedings of the International Congress of
                  Mathematicians, {V}ol. {I}, {II} ({K}yoto, 1990)",
      PAGES       = "747-756",
      PUBLISHER   = "Math. Soc. Japan",
      YEAR        = "1991"
                  }

@UNPUBLISHED{S1,
      AUTHOR      = "Jason Starr",
      YEAR        = "2003",
      TITLE       = "Kodaira dimensions of spaces of rational curves on
                  low degree hypersurfaces",
      NOTE        = "in preparation"
                  }  

@UNPUBLISHED{S2,
      AUTHOR      = "Jason Starr",
      YEAR        = "2003",
      TITLE       = "Explicit computations related to \textit{ {R}ational
                  connectivity . . .} by {G}raber, {H}arris, {M}azur and
                  {S}tarr",
      NOTE        = "in preparation"
                  }

@UNPUBLISHED{Sr1c,
      AUTHOR      = "Jason Starr",
      YEAR        = "2004",
      TITLE       = "Hypersurfaces of low degree are rationally
                  1-connected",
      NOTE        = "in preparation"
                  }

@UNPUBLISHED{Sgs,
      AUTHOR      = "Jason Starr",
      YEAR        = "2004",
      TITLE       = "Global sections of some vector bundles on
                  {K}ontsevich moduli spaces",
      NOTE        = "preprint",
      URL         = "http://www-math.mit.edu/~jstarr/papers/"
                  }

@ARTICLE{Stevens88,
      AUTHOR      = "J. Stevens",
      TITLE       = "On canonical singularities as total spaces of
                  deformations",  
      JOURNAL     = "Abh. Math. Sem. Univ. Hamburg",
      YEAR        = "1988",
      VOLUME      = "58",
      PAGES       = "275-283"
                  }

@ARTICLE{Toen,
      AUTHOR      = "B. Toen",
      TITLE       = "Th\'{e}or\`{e}mes de {R}iemann-{R}och pour les
                  champs de {D}eligne-{M}umford",
      JOURNAL     = "K-theory",
      VOLUME      = "18",
      YEAR        = "1999",
      PAGES       = "33--76"
                  }


@ARTICLE{Tsen,
      AUTHOR      = "C. Tsen",
      TITLE       = "Divisionalgebren {\"u}ber {F}unktionenk{\"o}rper",
      JOURNAL     = "Nachr. Ges. Wiss. G{\"o}tingen",
      YEAR        = "1933",
      PAGES       = "335"
                  }

@ARTICLE{Tsen36,
      AUTHOR      = "C. Tsen",
      TITLE       = "Quasi-algebraische-abgeschlossene
                  {F}unktionenk{\"o}rper",
      JOURNAL     = "J. Chinese Math.",
      VOLUME      = "1",
      YEAR        = "1936",
      PAGES       = "81--92"
                  }

@ARTICLE{Tj,
      AUTHOR      = "Andrei Tyurin",
      TITLE       = "Geometry of the {F}ano Surface of a Non-singular
                  Cubic {$F\subset \PP^4$} and {T}orelli Theorems for {F}ano
                  Surfaces and Cubics",
      JOURNAL     = "Izvestiya Akademii Nauk SSSR. Seriya
                  Matematicheskaya",
      YEAR        = "1971",
      VOLUME      = "35",
      PAGES       = "498-529"
                  }

@ARTICLE{Viehweg77,
      AUTHOR      = "Eckart Viehweg",
      TITLE       = "Canonical divisors and the additivity of the
                  Kodaira dimension for morphisms of relative
                  dimension one",
      JOURNAL     = "Comp. Math.",
      VOLUME      = "35",
      YEAR        = "1977",
      PAGES       = "197-223"
                  }

@ARTICLE{Vis,
      AUTHOR      = "Angelo Vistoli",
      TITLE       = "Intersection theory on algebraic stacks and on
                  their moduli spaces",
      JOURNAL     = "Invent. math.",
      VOLUME      = "97",
      YEAR        = "1989",
      PAGES       = "613--670"
                  }

@INCOLLECTION{VHilb,
      AUTHOR      = "Angelo Vistoli",
      TITLE       = "The {H}ilbert stack and the theory of moduli of
                  families", 
      BOOKTITLE   = "Geometry {S}eminar, 1988-1991",
      PAGES       = "175-181",
      PUBLISHER   = "Univ. Stud. Bologna",
      YEAR        = "1991"
                  }

@ARTICLE{VoisinTorelli,
      AUTHOR      = "Claire Voisin",
      TITLE       = "Th{\'e}or{\`e}me de {T}orelli pour les cubiques
                  de $\mathbb{P}^5$",  
      JOURNAL     = "Inventiones mathematicae",
      YEAR        = "1986",
      VOLUME      = "86",
      PAGES       = "577--601"
                  }

@BOOK{Winter,
      AUTHOR      = "David Winter",
      TITLE       = "The Structure of Fields",
      PUBLISHER   = "Springer-Verlag",
      YEAR        = "1974",
      SERIES      = "Graduate Texts in Mathematics",
      VOLUME      = "16"
                  }

@ARTICLE{Zannier,
      TITLE       = "A note on traces of differential forms",
      AUTHOR      = "Umberto Zannier",
      JOURNAL     = "Journal of Pure and Applied Algebra",
      YEAR        = "1999",
      VOLUME      = "142",
      PAGES       = "91--97"
                  }