Masters course on
algebraic geometry, Spring Semester 2008
Teachers: G. van der Geer
and B.J.J. Moonen
University of Amsterdam, KdV Institute for Mathematics
e-mail: geer and bmoonen at science . uva . nl
Lectures are from 14:15 (!) till 17:00 in room A.303. (Roeterstraat 15.)
We aim to make the course accessible for students of
various levels. However, we ask that you study some of the necessary
background material yourself.
In the course we shall introduce the language of sheaves and schemes. Our main reference is the book by Liu but depending on your background you may find it useful also to read in some other books, such as the books by Hartshorne and Atiyah-MacDonald. There are also course notes on Algebraic Geometry (in Dutch) by G. van der Geer.
References to the literature:
Q. Liu, Algebraic
Geometry and Arithmetic Curves, Oxford Graduate Texts in Mathematics 6, Oxford Univ Press.
HAG = R. Hartshorne, Algebraic
Geometry, Graduate Texts in Mathematics 52, Springer.
M.F. Atiyah, I.G. MacDonald, Introduction to commutative algebra, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont. 1969.
Some exercises on commutative algebra: 
.
Handout, 12 March 2008:
.
Background material from commutative algebra. Here are some topics in Commutative Algebra that you need to study. In most cases it is good enough if you have some basic understanding of the relevant notions. What follows are some topics plus some references. In the course of the semester more will be added.
Localisation. See Atiyah-Macdonald Chapter 3.
Modules over a ring. See Atiyah-Macdonald Chapter 2; see the first few pages of the course notes by van der Geer.
To the home page of Gerard van der Geer
To the home page of Ben Moonen