Commuting Differential Operators of Rank 2 with Rational Coefficients

被引：1

作者：

Oganesyan, V. S. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Dept Mech & Math, Moscow, Russia

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2018年 / 52卷 / 03期

关键词：

integrable systems; commuting differential operators; Weyl algebra; spectral curve;

D O I：

10.1007/s10688-018-0229-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we find new pairs of self-adjoint commuting differential operators of rank 2 with rational coefficients and prove that any curve of genus 2 written as a hyperelliptic curve is the spectral curve of a pair of commuting differential operators with rational coefficients. We also study the case where curves of genus 3 are the spectral curves of pairs of commuting differential operators of rank 2 with rational coefficients.

引用

页码：203 / 213

页数：11

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