BCOV rings on elliptic curves and eta function
classification
🧮 math.AG
hep-thmath.CAmath.NT
keywords
bcovcurvesellipticfamilyfunctionringsassociatedclassification
read the original 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 $\eta(q^{24})$. Our method involves a classification of rational solutions of a Riccati equation under some constraints.
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