Algebraic Surfaces
Prerequisiti
The content of the courses "Scheme Theory I" e "Scheme Theory II".
Master program, PhD program.
Programma
- Smooth projective surfaces
- DIvisors, intersection numbers
- Hodge index theorem
- Riemann-Roch
- Blow-ups, rational maps
- Ruled surfaces
- Canonical maps
- Kodaira dimension
- Enriques classification
Obiettivi formativi
Teaching the theory of algebraic surfaces
Riferimenti bibliografici
- Robin Hartshorne, Algebraic Geometry, Springer Verlag
- Lucian Bădescu, Algebraic Surfaces, Springer Verlag
- Arnaud Beauville, Complex Algebraic Surfaces, Cambridge University Press