Time and place: MW 2:40-3:55, in 307 Mathematics.
Instructor: Robert Friedman (x4-4355, Office 605 Mathematics).
Office hours: Tuesdays and Thursdays 11--12, but feel free to drop by at any time.
Email: rf@math.columbia.edu
Teaching Assistant: Danny Gillam wgillam@math.columbia.edu. Office hours TBA.

The course will cover primary decomposition, Artin rings, class groups, Dedekind domains, filtered and graded rings, Hilbert functions. degree, the dimension theorem, regular local rings, completions, elementary properties of quasiprojective varieties and morphisms, Bertini's theorem, divisors, line bundles, linear systems.

M. F. Atiyah and I. G. Macdonald, An Introduction to Commutative Algebra.
N. Bourbaki, Commutative Algebra.
D. Eisenbud, Commutative Algebra with a view toward Algebraic Geometry.
H. Matsumura, Commutative Algebra, also Commutative Ring Theory (with M. Reid).
J.P. Serre, Algebre locale. Multiplicites.
O. Zariski and P. Samuel, Commutative Algebra vols. I and II.

Homework: There will be weekly problem sets, due at the beginning of class on Mondays. The first problem set will be due on Monday, February 4. Collaboration and discussion with your classmates is encouraged, but you must write up assignments individually.

Exams: There will be a final exam.

Homework: