MAT 615: Complex Curves and Surfaces
Stony Brook            Spring 2009 |
---|
  |
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).
  |
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
  |
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, Tu | Introduction | G&H 2.0,2.1 | #1 |
01/29, Th | Some key properties | ||
02/03, Tu | Jacobian of a curve | G&H 2.2 | |
02/05, Th | Proof of Abel's Theorem | ||
02/10, Tu | Jacobi Inversion | #2 | |
02/12, Th | Riemann-Roch for a curve | G&H 2.3 | |
02/17, Tu | Castelnuvo bound | ||
02/19, Th | Riemann count | ||
02/24, Tu | no class | ||
02/26, Th | |||
03/03, Tu | Curves of low genus/degree | ||
03/05, Th | Elliptic curves and moduli problem | Hain A,1,2 | #3 |
03/10, Tu | |||
03/12, Th | Orbifolds | Hain 3 | |
03/17, Tu | Modular forms | Hain 4 | |
03/19, Th | Relation with plane cubics | Hain 5 | #4 |
03/24, Tu | Moduli space of elliptic curves | ||
03/26, Th | Blowups and blowdowns of surfaces | G&H 4.0,4.1 | |
03/31, Tu | Curves on surfaces | pp396-397 pp498-510 | |
04/02, Th | |||
04/07, Tu | no class | ||
04/09, Th | |||
04/14, Tu | Rational maps on surfaces | pp489-498 pp510-512 |
#5 |
04/16, Th | Rational ruled surfaces | G&H 4.3 | |
04/21, Tu | Minimal rational surfaces | ||
04/23, Th | Detecting rational surfaces | G&H 4.4 | |
04/28, Tu | Irrational ruled surfaces | G&H 4.5 | #6 |
04/30, Th | |||
05/05, Tu | Other types of surfaces | ||
05/07, Th | Summary |
  |