Morita equivalence of deformations of Kleinian singularities

Published 28 Apr 2022 in math.QA and math.RT | (2204.13647v2)

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.

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Akaki Tikaradze

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