MAT 644: Complex Curves and Surfaces

Stony Brook            Spring 2020

General Course Information (updated for CoVID-19), 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
01/27, MIntroduction G&H 2.0,2.1 #1
01/29, WSome key properties
02/03, MJacobian of a curve G&H 2.2
02/05, WProof of Abel's Theorem
02/10, MJacobi Inversion
02/12, WRiemann-Roch for a curve G&H 2.3 #2
02/17, MCastelnuvo bound
02/19, WRiemann count
02/24, MBranched covers
02/26, WCurves of low genus/degree
03/02, MElliptic curves and moduli problem Hain A,1,2 #3
03/04, W
03/09, MOrbifolds Hain 3
03/11, WModular forms Hain 4
03/30, MRelation with plane cubics notes Hain 5
#4
04/01, WModuli space of elliptic curves notes
04/06, MBlowups and blowdowns of surfaces G&H 4.0,4.1
04/08, WCurves on surfaces pp396-397
pp498-510
04/13, M

 

This page is maintained by Aleksey Zinger.
Last modified: March 29, 2020.