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

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

Keywords

Theta Derivatives
Theta Functions
Trigonal Curves

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s11005-019-01233-4

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title = "Thomae{\textquoteright}s derivative formulae for trigonal curves",

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",

month = mar,

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

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T1 - Thomae’s derivative formulae for trigonal curves

AU - Enolski, Victor

AU - Kopeliovich, Yaacov

AU - Zemel, Shaul

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Y1 - 2020/3/1

N2 - 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.

AB - 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.

KW - Theta Derivatives

KW - Theta Functions

KW - Trigonal Curves

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U2 - 10.1007/s11005-019-01233-4

DO - 10.1007/s11005-019-01233-4

M3 - مقالة

SN - 0377-9017

VL - 110

SP - 611

EP - 637

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 3

ER -

Thomae’s derivative formulae for trigonal curves

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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