Commuting Differential Operators of Rank 2 with Rational Coefficients

被引：0
|
作者：
V. S. Oganesyan
机构：
[1] Lomonosov Moscow State University,Department of Mechanics and Mathematics
来源：
Functional Analysis and Its Applications | 2018年 / 52卷
关键词：
integrable systems; commuting differential operators; Weyl algebra; spectral curve;
D O I：
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学科分类号：
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.
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页码：203 / 213
页数：10
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