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MAT 644: Complex Curves and Surfaces
Stony Brook            Spring 2020 |
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In the Read column below, G&H a.b refers
to Chapter a, Section b in Griffthis and Harris.
| Date | Topic | Read | Problem Set |
| 01/27, M | Introduction | G&H 2.0,2.1 | #1 |
| 01/29, W | Some key properties | ||
| 02/03, M | Jacobian of a curve | G&H 2.2 | |
| 02/05, W | Proof of Abel's Theorem | ||
| 02/10, M | Jacobi Inversion | ||
| 02/12, W | Riemann-Roch for a curve | G&H 2.3 | #2 |
| 02/17, M | Castelnuvo bound | ||
| 02/19, W | Riemann count | ||
| 02/24, M | Branched covers | ||
| 02/26, W | Curves of low genus/degree | ||
| 03/02, M | Elliptic curves and moduli problem | Hain A,1,2 | #3 |
| 03/04, W | |||
| 03/09, M | Orbifolds | Hain 3 | |
| 03/11, W | Modular forms | Hain 4 | |
| 03/30, M | Relation with plane cubics notes | Hain 5 |
#4 |
| 04/01, W | Moduli space of elliptic curves notes | ||
| 04/06, M | Blowups and blowdowns of surfaces notes | G&H 4.0,4.1 | |
| 04/08, W | Normalizations of curves on surfaces notes | pp396-397 pp498-510 | |
| 04/13, M | More on curves on surfaces notes | ||
| 04/15, W | Rational maps on surfaces notes | pp489-498 pp510-512 |
#5 |
| 04/20, M | Rational ruled surfaces notes | G&H 4.3 | |
| 04/22, W | Minimal rational surfaces notes | ||
| 04/27, M | Detecting rational surfaces notes | G&H 4.4 | |
| 04/29, W | Irrational ruled surfaces I notes | G&H 4.5 | #6 |
| 05/04, M | Irrational ruled surfaces II notes | ||
| 05/06, W | Other types of surfaces notes |
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