The content includes:
- morphisms between sheaves and schemes
- abstract varieties
- properness and separatedness
- sheaves of modules, invertible sheaves and divisors
- projective morphisms, basepoint free divisors, ample divisors, blowups
- differentials and canonical sheaves, smoothness revisited
- cohomology of sheaves, Čech cohomology
- Serre duality, Riemann-Roch on curves
- morphisms with connested fibres, Iitaka fibrations.
Further details at: https://www.uni-saarland.de/lehrstuhl/lazic/teaching/algebraic-geometry-ii-ws2122.html
- DozentIn: Vladimir Lazic
- DozentIn: Nikolaos Tsakanikas
- DozentIn: Zhixin Xie