English

Thomae's Derivative Formulae for Trigonal Curves

Algebraic Geometry 2020-08-14 v2

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.

Keywords

Cite

@article{arxiv.1810.06031,
  title  = {Thomae's Derivative Formulae for Trigonal Curves},
  author = {Victor Enolski and Yaacov Kopeliovich and Shaul Zemel},
  journal= {arXiv preprint arXiv:1810.06031},
  year   = {2020}
}

Comments

21 pages, mainly added two references and Remark 3.4

R2 v1 2026-06-23T04:39:01.028Z