Go to  Advanced Search

Counting hyperelliptic curves in Abelian surfaces with quasi-modular forms

Show full item record

Files in this item

Files Size Format Description   View
ubc_2012_spring_rose_simon.pdf 434.1Kb Adobe Portable Document Format   View/Open
 
Title: Counting hyperelliptic curves in Abelian surfaces with quasi-modular forms
Author: Rose, Simon Charles Florian
Degree Doctor of Philosophy - PhD
Program Mathematics
Copyright Date: 2012
Publicly Available in cIRcle 2012-04-19
Abstract: In this thesis we produce a generating function for the number of hyperelliptic curves (up to translation) on a polarized Abelian surface using the crepant resolution conjecture and the Yau-Zaslow formula. We present a formula to compute these in terms of P. A. MacMahon's generalized sum-of-divisors functions, and prove that they are quasi-modular forms.
URI: http://hdl.handle.net/2429/42091
Scholarly Level: Graduate

This item appears in the following Collection(s)

Show full item record

All items in cIRcle are protected by copyright, with all rights reserved.

UBC Library
1961 East Mall
Vancouver, B.C.
Canada V6T 1Z1
Tel: 604-822-6375
Fax: 604-822-3893