论文标题
毛丽氏奇异性变形的莫里塔等效性
Morita equivalence of deformations of Kleinian singularities
论文作者
论文摘要
在本文中,我们将所有(经典)广义的Weyl代数的莫里塔对等当量对分类为参数的通用值,从而积极地解决了T.Hodges提出的30年历史的问题。我们还证明,如果相应的参数非常通用,则对任意kleinian奇异性的非交换变形的结果也相似。
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.