Time/Room: Tuesday 8:30 -- 10:00 in K 112 A.

First meeting: 13.03.2012.

Lecture:

The goal of the course is to understand and use the language of schemes in modern algebraic geometry.

Topics include: Spectra, affine and projective schemes, the role of varieties among schemes, morphisms, modules and divisors. After a brief introduction to cohomology we will proceed to proving the Riemann-Roch theorem.

Participants in the course are expected to be acquainted with basics in computer algebra and algebraic geometry.

Basic theory of categories 1 (preliminary version):	categories-part1.pdf
Lecture Notes (schemes):	alg-alggeo-1.pdf