McKay's correspondence for cocompact discrete subgroups of SU(1,1)
| dc.creator | Dolgachev, Igor V. | |
| dc.date | 2007-10-11 | |
| dc.date | 2007-12-14 | |
| dc.date.accessioned | 2026-07-07T08:48:55Z | |
| dc.date.available | 2026-07-07T08:48:55Z | |
| dc.description | The classical McKay correspondence establishes an explicit link from the representation theory of a finite subgroup G of SU(2) and the geometry of the minimal resolution of the quotient of the affine plane by G. In this paper we discuss a possible generalization of the McKay correspondence to the case when G is replaced with a cocompact discrete subgroup of the universal cover of SU(1,1) such that its image in PSU(1,1) is a cocompact fuchsian group with quotient of genus 0. We establish a correspondence between a certain class of finite-dimensional unitary representations of G and vector bundles on an open algebraic surface with the trivial canonical class canonically associated to G. | |
| dc.description | Essentially revised version with added bibliography; 26 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/0710.2253 | |
| dc.identifier | http://arxiv.org/abs/0710.2253 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144120 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Geometric Topology | |
| dc.title | McKay's correspondence for cocompact discrete subgroups of SU(1,1) | |
| dc.type | text |