MAT 615: Complex Curves and Surfaces

Stony Brook            Spring 2009

 

Announcements

PS6 has been updated; it now contains 10 exercises, including details for the important argument on pp561-563. Please let me know if there are any issues with the exercises.

Here is general information about the course (updated 01/26).
 

Course Instructor

Name: Aleksey Zinger     E-mail: azinger@math     Phone: 432-8288
Office: Math Tower 3-111     Office Hours: Tu 2:30-4 in 3-111, W 10-11:30 in P-143

 

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, TuIntroduction G&H 2.0,2.1 #1
01/29, ThSome key properties
02/03, TuJacobian of a curve G&H 2.2
02/05, ThProof of Abel's Theorem
02/10, TuJacobi Inversion #2
02/12, ThRiemann-Roch for a curve G&H 2.3
02/17, TuCastelnuvo bound
02/19, ThRiemann count
02/24, Tu no class
02/26, Th
03/03, TuCurves of low genus/degree
03/05, ThElliptic curves and moduli problem Hain A,1,2 #3
03/10, Tu
03/12, ThOrbifolds Hain 3
03/17, TuModular forms Hain 4
03/19, ThRelation with plane cubics Hain 5 #4
03/24, TuModuli space of elliptic curves
03/26, ThBlowups and blowdowns of surfaces G&H 4.0,4.1
03/31, TuCurves on surfaces pp396-397
pp498-510
04/02, Th
04/07, Tu no class
04/09, Th
04/14, TuRational maps on surfaces pp489-498
pp510-512
#5
04/16, ThRational ruled surfaces G&H 4.3
04/21, TuMinimal rational surfaces
04/23, ThDetecting rational surfaces G&H 4.4
04/28, TuIrrational ruled surfaces G&H 4.5 #6
04/30, Th
05/05, TuOther types of surfaces
05/07, ThSummary

 

This page is maintained by Aleksey Zinger.
Last modified: May 1, 2009.