%0 Journal Article
%T Counting Hyperelliptic curves on Abelian surfaces with Quasi-modular forms
%A Simon Rose
%J Mathematics
%D 2012
%I arXiv
%X In this paper we produce a generating function for the number of hyperelliptic curves (up to translation) on a polarized Abelian surfaces using the crepant resolution conjecture and the Yau-Zaslow formula. We present a formula to compute these in terms of MacMahon's generalized sum-of-divisors functions, and prove that they are quasi-modular forms.
%U http://arxiv.org/abs/1202.2094v2