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arXiv · 1601.08029

BCOV rings on elliptic curves and eta function

So Okada
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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 $q$-exponents of the eta function $η(q^{24})$. Our method involves a classification of rational solutions of a Riccati equation under some constraints.

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So Okada. 2016-01-29. BCOV rings on elliptic curves and eta function. https://arxiv.org/abs/1601.08029

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