Class Notes: Algebraic Geometry 1 and 2 (WS 2002/03 und SS 2003)

Andreas Gathmann

The material of the first semester is covered in chapters 0 to 6, the material of the second semester in chapters 7 to 10.

Complete notes (214 pages, last updated November 2, 2012) as ps (3,8MB) or pdf (2,0MB)
0. Introduction (ps, pdf)
1. Affine varieties (ps, pdf)
2. Functions, morphisms, and varieties (ps, pdf)
3. Projective varieties (ps, pdf)
4. Dimension (ps, pdf)
5. Schemes (ps, pdf)
6. First applications of scheme theory (ps, pdf)
7. More about sheaves (ps, pdf)
8. Cohomology of sheaves (ps, pdf)
9. Intersection theory (ps, pdf)
10. Chern classes (ps, pdf)

Any comments and corrections welcome!