MAT 615: Complex Curves and Surfaces

Stony Brook            Spring 2023

 

General Course Information, Hain's Notes, G&H Errors/Typos

 

Tentative Schedule

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, MIntroduction G&H 2.0,2.1 #1
01/25, WSome key properties
01/30, MJacobian of a curve G&H 2.2
02/01, WProof of Abel's Theorem
02/06, MJacobi Inversion
02/08, WRiemann-Roch for a curve G&H 2.3 #2
02/13, MCastelnuvo bound
02/15, WBranched covers
02/20, MRiemann count
02/22, WCurves of low genus/degree
02/27, MElliptic curves and moduli problem Hain A,1,2 #3
03/01, W
03/06, WOrbifolds Hain 3
03/08, WModular forms Hain 4
03/20, MRelation with plane cubics Hain 5 #4
03/22, WModuli space of elliptic curves
03/27, MBlowups and blowdowns of surfaces G&H 4.0,4.1
03/29, WCastelnuovo-Enriques Criterion G&H 4.0,4.1
04/03, MNormalizations of curves on surfaces pp396-397
pp498-510
04/05, WArithmetic and geometric genera
4/10, MRational maps on surfaces pp489-498
pp510-512
#5
4/12, WRational ruled surfaces G&H 4.3
04/17, MMinimal rational surfaces
04/19, WDetecting rational surfaces G&H 4.4
04/24, MIrrational ruled surfaces G&H 4.5
04/26, W
05/01, MOther types of surfaces
05/03, W

 

This page is maintained by Aleksey Zinger.
Last modified: April 5, 2023.