Is there any good reference on Riemann Surface and Riemann Theta Function?

  • Thread starter yicong2011
  • Start date
  • #1
75
0

Main Question or Discussion Point

Hi,

Currently, I need to read some reference about Integrable System, but I am stuck in Riemann Surface, genus, divisors, and Riemann Theta Functions. This makes me anxious.

Is there introduction or pedagogical reference on this topic? I think I can spend some time read it during winter vacation.

Thank you very much. Enjoy your Thanksgiving.
 
Last edited:

Answers and Replies

  • #2
mathwonk
Science Advisor
Homework Helper
10,822
988
I learned a lot from chapter 2 of Algebraic geometry, by Griffiths and Harris.

There was also a "college on riemann surfaces" at the ICTP in 1987 that may be useful,

'Lectures on Riemann surfaces
proceedings of the College on Riemann Surfaces, International Centre for Theoretical Physics, Trieste, Italy, 9 Nov.-18 Dec., 1987
editors, M. Cornalba, X. Gomez-Mont, A. Verjovsky.
Published 1989 by World Scientific in Singapore, Teaneck, NJ .
Written in English.
 
  • #3
mathwonk
Science Advisor
Homework Helper
10,822
988
here is a quick sketch. the theta divisor mentioned on the last page is the zero locus of Riemann's theta function.
 

Attachments

Related Threads on Is there any good reference on Riemann Surface and Riemann Theta Function?

  • Last Post
Replies
2
Views
3K
Replies
4
Views
3K
  • Last Post
Replies
3
Views
3K
  • Last Post
Replies
2
Views
3K
  • Last Post
Replies
9
Views
2K
Replies
3
Views
3K
Replies
3
Views
9K
Replies
2
Views
3K
Replies
5
Views
3K
Replies
8
Views
3K
Top