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.