Hershel Farkas

Affiliation: Hebrew University of Jerusalem

Email: farkas@math.huji.ac.il

Title Of Talk: Theta Constant Identities for $Z_n$ curves

Abstract: The generalization of the Thomae formulae to the case of $Z_n$ curves allow one to write down special theta constant identities for these curves with $1/n$-th integer characteristics. In this talk I shall demonstrate this for the family of nonsingular $Z_3$ curves of genus $4$, a three dimensional family, and write down a set of theta constant identities involving only the $15$ $1/3$-rd integer characteristics which arise in this theory.

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