Topics in Algebraic Geometry: Algebraic Surfaces

Calendar

LEC #	TOPICS
1	Introduction
2	Linear equivalence, algebraic equivalence, numerical equivalence of divisors
3	Birational maps, rational maps, linear systems, properties of birational maps between surfaces
4	Birational maps (cont.)
5	Ruled surfaces I
6	Ruled surfaces II
7	Ruled surfaces III, rational surfaces
8	Linear systems, rational normal scrolls
9	Castelnuovo’s criterion for rationality
10	Picard variety
11	Albanese variety
12	Non-ruled and ruled surfaces
13	Classification of ruled surfaces
14	Elliptic and quasi-elliptic surfaces
15	Elliptic surfaces (cont.), Kodaira dimension 0
16	K3 surfaces
17	Enriques surfaces, bielliptic surfaces
18	Classification
19	Elliptic/quasi-elliptic fibrations I
20	Elliptic/quasi-elliptic fibrations II
21	Elliptic/quasi-elliptic fibrations III, classification
22	Classification (cont.)
23	Moduli