MAT 615: Complex Curves and Surfaces
Stony Brook            Spring 2023 |
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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 |
01/23, M | Introduction | G&H 2.0,2.1 | #1 |
01/25, W | Some key properties | ||
01/30, M | Jacobian of a curve | G&H 2.2 | |
02/01, W | Proof of Abel's Theorem | ||
02/06, M | Jacobi Inversion | ||
02/08, W | Riemann-Roch for a curve | G&H 2.3 | #2 |
02/13, M | Castelnuvo bound | ||
02/15, W | Branched covers | ||
02/20, M | Riemann count | ||
02/22, W | Curves of low genus/degree | ||
02/27, M | Elliptic curves and moduli problem | Hain A,1,2 | #3 |
03/01, W | |||
03/06, W | Orbifolds | Hain 3 | |
03/08, W | Modular forms | Hain 4 | |
03/20, M | Relation with plane cubics | Hain 5 | #4 |
03/22, W | Moduli space of elliptic curves | ||
03/27, M | Blowups and blowdowns of surfaces | G&H 4.0,4.1 | |
03/29, W | Castelnuovo-Enriques Criterion | G&H 4.0,4.1 | |
04/03, M | Normalizations of curves on surfaces | pp396-397 pp498-510 | |
04/05, W | Arithmetic and geometric genera | ||
4/10, M | Rational maps on surfaces | pp489-498 pp510-512 |
#5 |
4/12, W | Rational ruled surfaces | G&H 4.3 | |
04/17, M | Minimal rational surfaces | ||
04/19, W | Detecting rational surfaces | G&H 4.4 | |
04/24, M | Irrational ruled surfaces | G&H 4.5 | #6 |
04/26, W | |||
05/01, M | Other types of surfaces | ||
05/03, W |
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