On a spectral sequence for equivariant K-theory
| dc.creator | Levine, Marc | |
| dc.creator | Serpé, Christian | |
| dc.date | 2005-11-15 | |
| dc.date | 2005-11-19 | |
| dc.date.accessioned | 2026-07-07T06:51:18Z | |
| dc.date.available | 2026-07-07T06:51:18Z | |
| dc.description | We apply the machinery developed by the first-named author to the K-theory of coherent G-sheaves on a finite type G-scheme X over a field, where G is a finite group. This leads to a definition of G-equivariant higher Chow groups (different from the Chow groups of classifying spaces constructed by Totaro and generalized to arbitrary X by Edidin-Graham) and an Atiyah-Hirzebruch spectral sequence from the G-equivariant higher Chow groups to the higher K-theory of coherent G-sheaves on X. This spectral sequence generalizes the spectral sequence from motivic cohomology to K-theory constructed by Bloch-Lichtenbaum and Friedlander-Suslin. | |
| dc.description | 25 pages. The 1st version omitted the bibliography, included in the 2nd version. This 3rd version corrects some references and attributions in the abstract and introduction | |
| dc.identifier | https://arxiv.org/abs/math/0511394 | |
| dc.identifier | http://arxiv.org/abs/math/0511394 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104941 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 19E15(Primary), 14C99, 14C25(Secondary) | |
| dc.title | On a spectral sequence for equivariant K-theory | |
| dc.type | text |