The field of meromorphic functions on a sigma divisor of a hyperelliptic curve of genus 3 and applications

被引：1

作者：

Ayano, T. ^{[1
]}

Buchstaber, V. M. ^{[2
]}

机构：

[1] Natl Res Univ Higher Sch Econ, Fac Math, Moscow, Russia

[2] Russian Acad Sci, Steklov Math Inst, Moscow, Russia

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2017年 / 51卷 / 03期

关键词：

Abelian functions; hyperelliptic sigma functions; polynomial dynamical systems; commuting vector fields; symmetric products of algebraic curves; ABELIAN FUNCTIONS; EXPRESSIONS;

D O I：

10.1007/s10688-017-0181-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The field of meromorphic functions on a sigma divisor of a hyperelliptic curve of genus 3 is described in terms of the gradient of its sigma function. As an application, solutions of the corresponding families of polynomial dynamical systems in C-4 with two polynomial integrals are constructed. These systems were introduced by Buchstaber and Mikhailov on the basis of commuting vector fields on the symmetric square of algebraic curves.

引用

页码：162 / 176

页数：15

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