Isomorphism Problems of Noncommutative Deformations of Type D Kleinian singularities
نویسنده
چکیده
We construct all possible noncommutative deformations of a Kleinian singularity C 2/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 NSL(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.
منابع مشابه
Deformations of Type D Kleinian Singularities
For n ≥ 4 we shall construct a family D(q) of non-commutative deformations of the coordinate algebra of a Kleinian singularity of type Dn depending on a polynomial q of degree n. We shall prove that every deformation of a type D Kleinian singularity which is not commutative is isomorphic to some D(q). We shall then consider in type D the family of deformations Oλ constructed by Crawley-Boevey a...
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