The lecture notes were prepared by Kartik Venkatram in collaboration with Professor Kumar.
| 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 |
