La correspondance de McKay
| dc.creator | Reid, Miles | |
| dc.date | 1999-11-22 | |
| dc.date.accessioned | 2026-07-07T05:31:44Z | |
| dc.date.available | 2026-07-07T05:31:44Z | |
| dc.description | Let M be a quasiprojective algebraic manifold with K_M=0 and G a finite automorphism group of M acting trivially on the canonical class K_M; for example, a subgroup G of SL(n,C) acting on C^n in the obvious way. We aim to study the quotient variety X=M/G and its resolutions Y -> X (especially under the assumption that Y has K_Y=0) in terms of G-equivariant geometry of M. At present we know 4 or 5 quite different methods of doing this, taken from string theory, algebraic geometry, motives, moduli, derived categories, etc. For G in SL(n,C) with n=2 or 3, we obtain several methods of cobbling together a basis of the homology of Y consisting of algebraic cycles in one-to-one correspondence with the conjugacy classes or the irreducible representations of G. | |
| dc.description | 20 pages, uses Latex and bourbaki.cls. Séminaire Bourbaki, 52ème année, novembre 1999, no. 867, to appear in Astérisque 2000 | |
| dc.identifier | https://arxiv.org/abs/math/9911165 | |
| dc.identifier | http://arxiv.org/abs/math/9911165 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79454 | |
| dc.subject | Algebraic Geometry | |
| dc.title | La correspondance de McKay | |
| dc.type | text |