Because of the attack on the computer network of the University of Duisburg-Essen, some content (in particular some image files) cannot be accessed because it is stored on central servers of the university.

# Algebraic Geometry 2

**Schedule for the course:**

Monday 10-12 Uhr WSC-S-U-3.02

Wednesday 10-12 Uhr WSC-S-U-3.02

Exercise classes: Friday 12-14 WSC-S-U-3.02

There will be a moodle-page with exercises, information on the content of the course and room for dicussions (AlgebraischeGeometrie helps to sign up for the course).

**Content:** The main topic of the course will be cohomology of sheaves. This is a very general method to analyze the global geometry of spaces and inparticular schemes. Cohomology is one of the key techniques in modern algebraic geometry - the discovery of this machiniery suddenly clarified many classical results and questions. We will see some of these during the course.

** Prerequisites:** You should have seen sheaves before and know the basic definitions for either schemes or varieties.

**Literature:** There is a wealth of good books on algebraic geometry. I will keep refering to the lecture notes R. Vakil: Foundations of Algebraic Geometry (Notes) http://math.stanford.edu/~vakil/216blog/ The basic content for the lectures can also be found in Hartshorne Chapter 3 and 4.