BCOV rings on elliptic curves and eta function
Algebraic Geometry
2016-02-01 v1 High Energy Physics - Theory
Classical Analysis and ODEs
Number Theory
Abstract
Associated Legendre functions of the first kind give a family of BCOV rings on elliptic curves. We prove that the family is parametrized by -exponents of the eta function . Our method involves a classification of rational solutions of a Riccati equation under some constraints.
Cite
@article{arxiv.1601.08029,
title = {BCOV rings on elliptic curves and eta function},
author = {So Okada},
journal= {arXiv preprint arXiv:1601.08029},
year = {2016}
}