Morita equivalence of deformations of Kleinian singularities

Abstract

In this paper we classify all Morita equivalent pairs of (classical) generalized Weyl algebras for generic values of the parameters, thus positively settling a 30 year old question posed by T.Hodges. We also prove a similar result for noncommutative deformations of arbitrary Kleinian singularities provided the corresponding parameters are very generic.

arXiv comment14 pages, preliminary version, all comments welcome