Isomorphism Problems of Noncommutative Deformations of Type D Kleinian Singularities

الأصل · EN

We construct all possible noncommutative deformations of a Kleinian singularity C²/Γ of type Dₙ in terms of generators and relations, and solve the problem of when two deformations are isomorphic. We prove that all isomorphisms arise naturally from the action of the normalizer N(2)(Γ) on C/Γ. We deduce that the moduli space of isomorphism classes of noncommutative deformations in type Dₙ is isomorphic to a vector space of dimension n.