The lecture notes were prepared by Kartik Venkatram in collaboration with Professor Kumar.
Lecture notes files.
| LEC # |
TOPICS |
LECTURE NOTES |
| 1 |
Introduction |
(PDF) |
| 2 |
Linear equivalence, algebraic equivalence, numerical equivalence of divisors |
(PDF) |
| 3 |
Birational maps, rational maps, linear systems, properties of birational maps between surfaces |
(PDF) |
| 4 |
Birational maps (cont.) |
(PDF) |
| 5 |
Ruled surfaces I |
(PDF) |
| 6 |
Ruled surfaces II |
(PDF) |
| 7 |
Ruled surfaces III, rational surfaces |
(PDF) |
| 8 |
Linear systems, rational normal scrolls |
(PDF) |
| 9 |
Castelnuovo's criterion for rationality |
(PDF) |
| 10 |
Picard variety |
(PDF) |
| 11 |
Albanese variety |
(PDF) |
| 12 |
Non-ruled and ruled surfaces |
(PDF) |
| 13 |
Classification of ruled surfaces |
(PDF) |
| 14 |
Elliptic and quasi-elliptic surfaces |
(PDF) |
| 15 |
Elliptic surfaces (cont.), Kodaira dimension 0 |
(PDF) |
| 16 |
K3 surfaces |
(PDF) |
| 17 |
Enriques surfaces, bielliptic surfaces |
(PDF) |
| 18 |
Classification |
(PDF) |
| 19 |
Elliptic/quasi-elliptic fibrations I |
(PDF) |
| 20 |
Elliptic/quasi-elliptic fibrations II |
(PDF) |
| 21 |
Elliptic/quasi-elliptic fibrations III, classification |
(PDF) |
| 22 |
Classification (cont.) |
(PDF) |
| 23 |
Moduli |
