\relax 
\ifx\hyper@anchor\@undefined
\global \let \oldcontentsline\contentsline
\gdef \contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
\global \let \oldnewlabel\newlabel
\gdef \newlabel#1#2{\newlabelxx{#1}#2}
\gdef \newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
\AtEndDocument{\let \contentsline\oldcontentsline
\let \newlabel\oldnewlabel}
\else
\global \let \hyper@last\relax 
\fi

\@writefile{toc}{\contentsline {section}{\tocsection {}{1}{Foundational and prerequisites}}{1}{section.1}}
\newlabel{section-foundational}{{1}{1}{Foundational and prerequisites\relax }{section.1}{}}
\newlabel{subsection-set-theory}{{1.1}{1}{Set Theory\relax }{subsection.1.1}{}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{1.1}{Set Theory}}{1}{subsection.1.1}}
\newlabel{subsection-categories}{{1.2}{1}{Categories\relax }{subsection.1.2}{}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{1.2}{Categories}}{1}{subsection.1.2}}
\newlabel{subsection-sites}{{1.3}{1}{Sites and Topoi\relax }{subsection.1.3}{}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{1.3}{Sites and Topoi}}{1}{subsection.1.3}}
\newlabel{stacks}{{1.4}{2}{Stacks\relax }{subsection.1.4}{}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{1.4}{Stacks}}{2}{subsection.1.4}}
\newlabel{subsection-algebra}{{1.5}{2}{Algebra\relax }{subsection.1.5}{}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{1.5}{Algebra}}{2}{subsection.1.5}}
\newlabel{subsection-schemes}{{1.6}{2}{Schemes\relax }{subsection.1.6}{}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{1.6}{Schemes}}{2}{subsection.1.6}}
\newlabel{subsection-schemes-cohomology}{{1.7}{2}{Cohomology of schemes\relax }{subsection.1.7}{}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{1.7}{Cohomology of schemes}}{2}{subsection.1.7}}
\newlabel{subsection-deformation-schlessinger}{{1.8}{2}{Deformation theory a la Schlessinger\relax }{subsection.1.8}{}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{1.8}{Deformation theory a la Schlessinger}}{2}{subsection.1.8}}
\@writefile{toc}{\contentsline {section}{\tocsection {}{2}{Algebraic Stacks, algebraic spaces and schemes}}{2}{section.2}}
\newlabel{section-algebraic-stacks}{{2}{2}{Algebraic Stacks, algebraic spaces and schemes\relax }{section.2}{}}
\citation{DM}
\citation{Artin}
\citation{ArtinVersal}
\citation{ConradeJong}
\newlabel{subsection-definition-schemes}{{2.1}{3}{Definition of schemes\relax }{subsection.2.1}{}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{2.1}{Definition of schemes}}{3}{subsection.2.1}}
\newlabel{definition-schemes-alternative}{{2.1.1}{3}{Alternative\relax }{subsubsection.2.1.1}{}}
\@writefile{toc}{\contentsline {subsubsection}{\tocsubsubsection {}{2.1.1}{Alternative}}{3}{subsubsection.2.1.1}}
\newlabel{subsection-definition-algebraic-spaces}{{2.2}{3}{Definition of algebraic spaces\relax }{subsection.2.2}{}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{2.2}{Definition of algebraic spaces}}{3}{subsection.2.2}}
\newlabel{subsection-definition-algebraic-stacks}{{2.3}{3}{Definition of algebraic stacks\relax }{subsection.2.3}{}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{2.3}{Definition of algebraic stacks}}{3}{subsection.2.3}}
\newlabel{subsection-examples-stacks}{{2.4}{3}{Examples of schemes, algebraic spaces, algebraic stacks\relax }{subsection.2.4}{}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{2.4}{Examples of schemes, algebraic spaces, algebraic stacks}}{3}{subsection.2.4}}
\newlabel{subsection-stacks-properties}{{2.5}{3}{Properties of algebraic stacks\relax }{subsection.2.5}{}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{2.5}{Properties of algebraic stacks}}{3}{subsection.2.5}}
\newlabel{subsection-lisse-etale}{{2.6}{3}{Lisse etale site of an algebraic stack\relax }{subsection.2.6}{}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{2.6}{Lisse etale site of an algebraic stack}}{3}{subsection.2.6}}
\citation{K-M}
\bibdata{my}
\bibcite{Artin}{Art69}
\bibcite{ArtinVersal}{Art74}
\bibcite{ConradeJong}{CdJ02}
\bibcite{DM}{DM69}
\bibcite{K-M}{KM97}
\bibstyle{alpha}
\newlabel{tocindent-1}{0pt}
\newlabel{tocindent0}{12.7778pt}
\newlabel{tocindent1}{17.77782pt}
\newlabel{tocindent2}{29.38873pt}
\newlabel{tocindent3}{0pt}
\newlabel{stacks-fun-lemmas}{{2.7}{4}{Things you always wanted to know but were afraid to ask\relax }{subsection.2.7}{}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{2.7}{Things you always wanted to know but were afraid to ask}}{4}{subsection.2.7}}
\newlabel{subsection-quasi-coherent}{{2.8}{4}{Quasi-coherent sheaves on stacks\relax }{subsection.2.8}{}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{2.8}{Quasi-coherent sheaves on stacks}}{4}{subsection.2.8}}
\@writefile{toc}{\contentsline {section}{\tocsection {}{3}{Fundamental results}}{4}{section.3}}
\newlabel{section-results-fundamental}{{3}{4}{Fundamental results\relax }{section.3}{}}
\newlabel{subsection-flat-smooth}{{3.1}{4}{Flat and smooth\relax }{subsection.3.1}{}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.1}{Flat and smooth}}{4}{subsection.3.1}}
\newlabel{subsection-representability}{{3.2}{4}{Artin's representability theorem\relax }{subsection.3.2}{}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.2}{Artin's representability theorem}}{4}{subsection.3.2}}
\newlabel{subsection-dm-finite-cover}{{3.3}{4}{DM stacks are finitely covered by schemes\relax }{subsection.3.3}{}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.3}{DM stacks are finitely covered by schemes}}{4}{subsection.3.3}}
\newlabel{subsection-proper-parametrization}{{3.4}{4}{Martin Olson's paper on properness\relax }{subsection.3.4}{}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.4}{Martin Olson's paper on properness}}{4}{subsection.3.4}}
\newlabel{subsection-proper-pushforward}{{3.5}{4}{Proper pushforward of coherent sheaves\relax }{subsection.3.5}{}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.5}{Proper pushforward of coherent sheaves}}{4}{subsection.3.5}}
\newlabel{subsection-keel-mori}{{3.6}{4}{Keel and Mori\relax }{subsection.3.6}{}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.6}{Keel and Mori}}{4}{subsection.3.6}}
\newlabel{subsection-add-more}{{3.7}{4}{Add more here\relax }{subsection.3.7}{}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.7}{Add more here}}{4}{subsection.3.7}}
\@writefile{toc}{\contentsline {section}{\tocsection {}{}{References}}{4}{section*.1}}