On commuting ordinary differential operators with polynomial coefficients corresponding to spectral curves of genus two

Valentina N. Davletshina; Andrey E. Mironov

doi:10.4134/BKMS.b160685

On commuting ordinary differential operators with polynomial coefficients corresponding to spectral curves of genus two

Valentina N. Davletshina, Andrey E. Mironov

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The group of automorphisms of the first Weyl algebra acts on commuting ordinary differential operators with polynomial coefficient. In this paper we prove that for fixed generic spectral curve of genus two the set of orbits is infinite.

Original language	English
Pages (from-to)	1669-1675
Number of pages	7
Journal	Bulletin of the Korean Mathematical Society
Volume	54
Issue number	5
DOIs	https://doi.org/10.4134/BKMS.b160685
Publication status	Published - 2017

Keywords

Commuting ordinary differential operators
The first Weyl algebra

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title = "On commuting ordinary differential operators with polynomial coefficients corresponding to spectral curves of genus two",

abstract = "The group of automorphisms of the first Weyl algebra acts on commuting ordinary differential operators with polynomial coefficient. In this paper we prove that for fixed generic spectral curve of genus two the set of orbits is infinite.",

keywords = "Commuting ordinary differential operators, The first Weyl algebra",

author = "Davletshina, {Valentina N.} and Mironov, {Andrey E.}",

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AU - Mironov, Andrey E.

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AB - The group of automorphisms of the first Weyl algebra acts on commuting ordinary differential operators with polynomial coefficient. In this paper we prove that for fixed generic spectral curve of genus two the set of orbits is infinite.

KW - Commuting ordinary differential operators

KW - The first Weyl algebra

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JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

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On commuting ordinary differential operators with polynomial coefficients corresponding to spectral curves of genus two

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Keywords

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