Bulletin of the
Korean Mathematical Society
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Bull. Korean Math. Soc. 2017; 54(5): 1669-1675

Online first article January 12, 2017      Printed September 30, 2017

https://doi.org/10.4134/BKMS.b160685

Copyright © The Korean Mathematical Society.

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

Valentina N. Davletshina, Andrey E. Mironov

Novosibirsk State University, Novosibirsk State University

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

MSC numbers: 37K20

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