**Sommersemester 2012**

**Günter Landsmann**

**Algorithmic algebraic Geometry (326.084)**

**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 |