2
The main aims of this seminar will be to go over
FREE
This course includes
Hours of videos
611 years
Units & Quizzes
22
Unlimited Lifetime access
Access on mobile app
Certificate of Completion
the classification of surfaces (Enriques-Castelnuovo for characteristic zero, Bombieri-Mumford for characteristic p), while working out plenty of examples, and treating their geometry and arithmetic as far as possible.
Course Currilcum
- Introduction Unlimited
- Linear equivalence, algebraic equivalence, numerical equivalence of divisors Unlimited
- Birational maps, rational maps, linear systems, properties of birational maps between surfaces Unlimited
- Birational maps (cont.) Unlimited
- Ruled surfaces I Unlimited
- Ruled surfaces II Unlimited
- Ruled surfaces III, rational surfaces Unlimited
- Linear systems, rational normal scrolls Unlimited
- Castelnuovo’s criterion for rationality Unlimited
- Picard variety Unlimited
- Albanese variety Unlimited
- Non-ruled and ruled surfaces Unlimited
- Classification of ruled surfaces Unlimited
- Elliptic and quasi-elliptic surfaces Unlimited
- Elliptic surfaces (cont.), Kodaira dimension 0 Unlimited
- K3 surfaces Unlimited
- Enriques surfaces, bielliptic surfaces Unlimited
- Classification Unlimited
- Elliptic/quasi-elliptic fibrations I Unlimited
- Elliptic/quasi-elliptic fibrations II Unlimited
- Elliptic/quasi-elliptic fibrations III, classification Unlimited
- Moduli Unlimited
