Isomorphism Problems of Noncommutative Deformations of Type D Kleinian Singularities
| dc.creator | Levy, Paul | |
| dc.date | 2006-10-16 | |
| dc.date.accessioned | 2026-07-07T07:29:07Z | |
| dc.date.available | 2026-07-07T07:29:07Z | |
| dc.description | We construct all possible noncommutative deformations of a Kleinian singularity ${\mathbb C}^2/Γ$ of type $D_n$ 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 $N_{\SL(2)}(Γ)$ on ${\mathbb C}/Γ$. We deduce that the moduli space of isomorphism classes of noncommutative deformations in type $D_n$ is isomorphic to a vector space of dimension $n$. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/0610490 | |
| dc.identifier | http://arxiv.org/abs/math/0610490 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/117982 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 81R10 | |
| dc.title | Isomorphism Problems of Noncommutative Deformations of Type D Kleinian Singularities | |
| dc.type | text |