The McKay correspondence for finite subgroups of SL(3,\C)
| dc.creator | Ito, Yukari | |
| dc.creator | Reid, Miles | |
| dc.date | 1994-11-16 | |
| dc.date | 1996-01-10 | |
| dc.date.accessioned | 2026-07-07T08:57:54Z | |
| dc.date.available | 2026-07-07T08:57:54Z | |
| dc.description | This is the final draft, containing very minor proof-reading corrections. Let G in SL(n,\C) be a finite subgroup and \fie: Y -> X = \C^n/G any resolution of singularities of the quotient space. We prove that crepant exceptional prime divisors of Y correspond one-to-one with ``junior'' conjugacy classes of G. When n = 2 this is a version of the McKay correspondence (with irreducible representations of G replaced by conjugacy classes). In the case n = 3, a resolution with K_Y = 0 is known to exist by work of Roan and others; we prove the existence of a basis of H^*(Y, \Q) by algebraic cycles in one-to-one correspondence with conjugacy classes of G. Our treatment leaves lots of open problems. | |
| dc.description | AMSTeX, amsppt and optional epsf.tex , This paper will appear in Higher Dimensional Complex Varieties (Trento, Jun 1994), ed. M. Andreatta, De Gruyter, Mar 1996. It has been circulated as a Univ. of Tokyo, Dept. of Math Sciences preprint, UTMS 94--66, 19 pp | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9411010 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9411010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147112 | |
| dc.subject | Algebraic Geometry | |
| dc.title | The McKay correspondence for finite subgroups of SL(3,\C) | |
| dc.type | text |