Quantization of minimal resolutions of Kleinian singularities
| dc.creator | Boyarchenko, Mitya | |
| dc.date | 2005-05-10 | |
| dc.date | 2005-08-20 | |
| dc.date.accessioned | 2026-07-07T06:32:37Z | |
| dc.date.available | 2026-07-07T06:32:37Z | |
| dc.description | In this paper we prove an analogue of a recent result of Gordon and Stafford that relates the representation theory of certain noncommutative deformations of the coordinate ring of the n-th symmetric power of C^2 with the geometry of the Hilbert scheme of n points in C^2 through the formalism of Z-algebras. Our work produces, for every regular noncommutative deformation O^λof a Kleinian singularity X=C^2/Γ, as defined by Crawley-Boevey and Holland, a filtered Z-algebra which is Morita equivalent to O^λ, such that the associated graded Z-algebra is Morita equivalent to the minimal resolution of X. The construction uses the description of the algebras O^λas quantum Hamiltonian reductions, due to Holland, and a GIT construction of minimal resolutions of X, due to Cassens and Slodowy. | |
| dc.description | LaTeX, 24 pages. Version 2 (some misprints fixed) | |
| dc.identifier | https://arxiv.org/abs/math/0505165 | |
| dc.identifier | http://arxiv.org/abs/math/0505165 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98955 | |
| dc.subject | Representation Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Quantum Algebra | |
| dc.title | Quantization of minimal resolutions of Kleinian singularities | |
| dc.type | text |