Counting functions for branched covers of elliptic curves and quasi-modular forms
Mathematical Physics
2007-05-23 v1 Combinatorics
math.MP
Abstract
We prove that each counting function of the m-simple branched covers with a fixed genus of an elliptic curve is expressed as a polynomial of the Eisenstein series E_2, E_4 and E_6 . The special case m=2 is considered by Dijkgraaf.
Cite
@article{arxiv.math-ph/9909023,
title = {Counting functions for branched covers of elliptic curves and quasi-modular forms},
author = {Hiroyuki Ochiai},
journal= {arXiv preprint arXiv:math-ph/9909023},
year = {2007}
}
Comments
LaTeX, 16 pages, no figures