On commuting ordinary differential operators with polynomial coefficients corresponding to spectral curves of genus two
Mathematical Physics
2016-06-07 v1 math.MP
Rings and Algebras
Spectral Theory
Exactly Solvable and Integrable Systems
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
Cite
@article{arxiv.1606.01346,
title = {On commuting ordinary differential operators with polynomial coefficients corresponding to spectral curves of genus two},
author = {Valentina N. Davletshina and Andrey E. Mironov},
journal= {arXiv preprint arXiv:1606.01346},
year = {2016}
}