Motivic decomposition of a generalized Severi-Brauer variety
| dc.creator | Zainoulline, Kirill | |
| dc.date | 2006-01-27 | |
| dc.date.accessioned | 2026-07-07T06:59:22Z | |
| dc.date.available | 2026-07-07T06:59:22Z | |
| dc.description | Let A and B be two central simple algebras of a prime degree n over a field F generating the same subgroup in the Brauer group. We show that the Chow motive of a Severi-Brauer variety SB(A) is a direct summand of the motive of a generalized Severi-Brauer variety SB_d(B) if and only if [A]=d[B] or [A]=-d[B] in the Brauer group. The proof uses methods of Schubert calculus and combinatorial properties of Young tableaux, e.g., Robinson-Schensted correspondence. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0601666 | |
| dc.identifier | http://arxiv.org/abs/math/0601666 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107723 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Combinatorics | |
| dc.subject | 14M15; 14C25; 05E15 | |
| dc.title | Motivic decomposition of a generalized Severi-Brauer variety | |
| dc.type | text |