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

2016/06/04 by Valentina N. Davletshina, Davletshina, Valentina N., Andrey E. Mironov +1
Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Rings and Algebras (math.RA) #Spectral Theory (math.SP) #math-ph #math.MP #math.RA #math.SP #nlin.SI

paper · pdf · doi:10.48550/arxiv.1606.01346

arxiv created 2016/06/04 · arxiv updated 2016/06/07

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.

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