Kowalevski top and genus-2 curves

被引：10

作者：

Markushevich, D ^{[1
]}

机构：

[1] Univ Lille 1, F-59655 Villeneuve Dascq, France

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2001年 / 34卷 / 11期

关键词：

D O I：

10.1088/0305-4470/34/11/306

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Kowalevski's curve of genus 2 is related to two other curves arising from the solution of the Kowalevski top by the method of spectral curves in the case when the angular momentum of the top is orthogonal to the gravity vector. One is the Bobenko-Reyman-Semenov-Tian-Shansky curve of genus 2, the other is the spectral curve of the Kuznetsov-Tsiganov Lax matrix, of genus 3. The relations between the curves are given by correspondences, that is, multivalued maps, inducing isogenies of the corresponding Jacobian or Prym varieties.

引用

页码：2125 / 2135

页数：11

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