paper

Thomae's Derivative Formulae for Trigonal Curves

arXiv:1810.06031 · doi:10.1007/s11005-019-01233-4

Abstract

In this paper we prove a Thomae derivative formula for trigonal curves admitting a non-singular affine model. This formula relates the derivatives of theta functions with rational characteristics on the curve to explicit expressions in the branching values.

21 pages, mainly added two references and Remark 3.4