- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- UBC Theses and Dissertations /
- Counting hyperelliptic curves in Abelian surfaces with...
Open Collections
UBC Theses and Dissertations
Featured Collection
UBC Theses and Dissertations
Counting hyperelliptic curves in Abelian surfaces with quasi-modular forms Rose, Simon Charles Florian
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.
Item Metadata
| Title |
Counting hyperelliptic curves in Abelian surfaces with quasi-modular forms
|
| Creator | |
| Publisher |
University of British Columbia
|
| Date Issued |
2012
|
| Description |
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.
|
| Genre | |
| Type | |
| Language |
eng
|
| Date Available |
2012-04-19
|
| Provider |
Vancouver : University of British Columbia Library
|
| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
| DOI |
10.14288/1.0080648
|
| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
|
| Graduation Date |
2012-05
|
| Campus | |
| Scholarly Level |
Graduate
|
| Rights URI | |
| Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International