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ON COMMUTING ORDINARY DIFFERENTIAL OPERATORS WITH POLYNOMIAL COEFFICIENTS CORRESPONDING TO SPECTRAL CURVES OF GENUS TWO

  • Davletshina, Valentina N. (Sobolev Institute of Mathematics Novosibirsk State University) ;
  • Mironov, Andrey E. (Sobolev Institute of Mathematics Novosibirsk State University)
  • Received : 2016.08.17
  • Accepted : 2016.10.25
  • Published : 2017.09.30
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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

Acknowledgement

Supported by : Russian Foundation for Basic Research

References

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