Thomae’s derivative formulae for trigonal curves

Victor Enolski; Yaacov Kopeliovich; Shaul Zemel

doi:10.1007/s11005-019-01233-4

Thomae’s derivative formulae for trigonal curves

Victor Enolski
, Yaacov Kopeliovich
, Shaul Zemel^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	611-637
Number of pages	27
Journal	Letters in Mathematical Physics
Volume	110
Issue number	3
DOIs	https://doi.org/10.1007/s11005-019-01233-4
State	Published - 1 Mar 2020

Bibliographical note

Publisher Copyright:
© 2019, Springer Nature B.V.

Keywords

Theta Derivatives
Theta Functions
Trigonal Curves

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10.1007/s11005-019-01233-4

Cite this

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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 = "Theta Derivatives, Theta Functions, Trigonal Curves",

author = "Victor Enolski and Yaacov Kopeliovich and Shaul Zemel",

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year = "2020",

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doi = "10.1007/s11005-019-01233-4",

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KW - Theta Derivatives

KW - Theta Functions

KW - Trigonal Curves

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Thomae’s derivative formulae for trigonal curves

Abstract

Bibliographical note

Keywords

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