Projective homogeneous varieties birational to quadrics
| dc.creator | MacDonald, Mark L. | |
| dc.date | 2009-03-22 | |
| dc.date.accessioned | 2026-07-07T12:55:33Z | |
| dc.date.available | 2026-07-07T12:55:33Z | |
| dc.description | We will consider an explicit birational map between a quadric and the projective variety X(J) of traceless rank one elements in a simple reduced Jordan algebra J. X(J) is a homogeneous G-variety for the automorphism group G=Aut(J). We will show that the birational map is a blow up followed by a blow down. This will allow us to use the blow up formula for motives together with Vishik's work on the motives of quadrics to give a motivic decomposition of X(J). | |
| dc.description | 20 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0903.3698 | |
| dc.identifier | http://arxiv.org/abs/0903.3698 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224288 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Rings and Algebras | |
| dc.subject | 11E04 (Primary) 14E05, 14L30, 14C15 (Secondary) | |
| dc.title | Projective homogeneous varieties birational to quadrics | |
| dc.type | text |