Motives of Azumaya algebras
| dc.creator | Kahn, Bruno | |
| dc.creator | Levine, Marc | |
| dc.date | 2007-10-08 | |
| dc.date | 2008-02-17 | |
| dc.date.accessioned | 2026-07-07T09:20:58Z | |
| dc.date.available | 2026-07-07T09:20:58Z | |
| dc.description | We study the slice filtration for the K-theory of a sheaf of Azumaya algebras A, and for the motive of a Severi-Brauer variety, the latter in the case of a central simple algebra of prime degree over a field. Using the Beilinson-Lichtenbaum conjecture, we apply our results to show the vanishing of SK_2(A) for a central simple algebra A of square-free index. | |
| dc.description | An error in prop. 4.6.1 and theorem 4.7.1 was corrected by adding the hypothesis that A has square free index. Some duplicate statements were consolidated and more detail on the use of the Bloch-Kato conjectures was added | |
| dc.identifier | https://arxiv.org/abs/0710.1614 | |
| dc.identifier | http://arxiv.org/abs/0710.1614 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154865 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 19E15; 14C25 | |
| dc.title | Motives of Azumaya algebras | |
| dc.type | text |