Chow motives of twisted flag varieties
| dc.creator | Calmes, B. | |
| dc.creator | Petrov, V. | |
| dc.creator | Semenov, N. | |
| dc.creator | Zainoulline, K. | |
| dc.date | 2005-05-12 | |
| dc.date | 2005-07-08 | |
| dc.date.accessioned | 2026-07-07T09:25:19Z | |
| dc.date.available | 2026-07-07T09:25:19Z | |
| dc.description | Let G be an adjoint simple algebraic group of inner type. We express the Chow motive (with integral coefficients) of some anisotropic projective G-homogeneous varieties in terms of motives of simpler G-homogeneous varieties, namely, those that correspond to maximal parabolic subgroups of G. We decompose the motive of a generalized Severi-Brauer variety SB_2(A), where A is a division algebra of degree 5, into a direct sum of two indecomposable motives. As an application we provide another counter-example to the uniqueness of a direct sum decomposition in the category of motives with integral coefficients. | |
| dc.description | 28 pages | |
| dc.identifier | https://arxiv.org/abs/math/0505242 | |
| dc.identifier | http://arxiv.org/abs/math/0505242 | |
| dc.identifier | Compositio Math. 142 (2006), no.4, 1063-1080. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156365 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 57T15; 19E15 | |
| dc.title | Chow motives of twisted flag varieties | |
| dc.type | text |