Counting hyperelliptic curves in Abelian surfaces with quasi-modular forms

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-div...

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Bibliographic Details
Main Author: Rose, Simon Charles Florian
Language:English
Published: University of British Columbia 2012
Online Access:http://hdl.handle.net/2429/42091