Identities for hyperelliptic (sic)-functions of genus one, two and three in covariant form

被引：12

作者：

Athorne, Chris ^{[1
]}

机构：

[1] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2008年 / 41卷 / 41期

关键词：

D O I：

10.1088/1751-8113/41/41/415202

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give a covariant treatment of the quadratic differential identities satisfied by the (sic)-functions on the Jacobian of smooth hyperelliptic curves of genus <= 3.

引用

页数：20

共 11 条

[1]

AITKEN AC, 1956, DETERMINANTS MATRICE, V20

[2]

[Anonymous], CRM P LECT NOTES

[3]

[Anonymous], ABELIAN FUNCTIONS AB

[4] A SL(2) covariant theory of genus 2 hyperelliptic functions [J].

Athorne, C ;

Eilbeck, JC ;

Enolskii, VZ .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2004, 136 :269-286

[5] Identities for the classical genus two p function [J].

Athorne, C ;

Eilbeck, JC ;

Enolskii, VZ .

JOURNAL OF GEOMETRY AND PHYSICS, 2003, 48 (2-3) :354-368

[6]

Athorne C, 2006, NATO SCI SER II MATH, V201, P17

[7]

BAKER H, 1907, MULTIPLY PERIODIC FU

[8] On a system of differential equations leading to periodic functions [J].

Baker, HF .

ACTA MATHEMATICA, 1903, 27 (01) :135-156

[9]

Buchstaber VM., 1997, Solitons, Geometry, and Topology: On the Crossroad, P1

[10]

Cassels J. W. S., 1996, LONDON MATH SOC LECT, V230

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