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http://dx.doi.org/10.4134/BKMS.b160685

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)
Publication Information
Bulletin of the Korean Mathematical Society / v.54, no.5, 2017 , pp. 1669-1675 More about this Journal
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;
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