{ "id": "1606.01346", "version": "v1", "published": "2016-06-04T09:03:29.000Z", "updated": "2016-06-04T09:03:29.000Z", "title": "On commuting ordinary differential operators with polynomial coefficients corresponding to spectral curves of genus two", "authors": [ "Valentina N. Davletshina", "Andrey E. Mironov" ], "categories": [ "math-ph", "math.MP", "math.RA", "math.SP", "nlin.SI" ], "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.", "revisions": [ { "version": "v1", "updated": "2016-06-04T09:03:29.000Z" } ], "analyses": { "keywords": [ "commuting ordinary differential operators", "polynomial coefficients corresponding", "first weyl algebra acts", "fixed generic spectral curve" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }