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research article
Isomorphism Problems of Noncommutative Deformations of Type D Kleinian Singularities
We construct all possible noncommutative deformations of a Kleinian singularity C-2/Gamma of type D-n in terms of generators and relations, and solve the isomorphism problem for the associative algebras thus constructed. We prove that (in our parametrization) all isomorphisms arise from the action of the normalizer N-SL(2)(Gamma) on C/Gamma. We deduce that the moduli space of isomorphism classes of noncommutative deformations in type D-n is isomorphic to a vector space of dimension n.
Type
research article
Web of Science ID
WOS:000263773800007
Authors
Publication date
2009
Volume
361
Start page
2351
End page
2375
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
November 30, 2010
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