Totaro's question for G_2, F_4, and E_6
| dc.creator | Garibaldi, Skip | |
| dc.creator | Hoffmann, Detlev | |
| dc.date | 2004-12-07 | |
| dc.date.accessioned | 2026-07-07T13:17:15Z | |
| dc.date.available | 2026-07-07T13:17:15Z | |
| dc.description | In a 2004 paper, Totaro asked whether a G-torsor X that has a zero-cycle of degree d > 0 will necessarily have a closed etale point of degree dividing d, where G is a connected algebraic group. This question is closely related to several conjectures regarding exceptional algebraic groups. Totaro gave a positive answer to his question in the following cases: G simple, split, and of type G_2, type F_4, or simply connected of type E_6. We extend the list of cases where the answer is "yes" to all groups of type G_2 and some nonsplit groups of type F_4 and E_6. No assumption on the characteristic of the base field is made. The key tool is a lemma regarding linkage of Pfister forms. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0412148 | |
| dc.identifier | http://arxiv.org/abs/math/0412148 | |
| dc.identifier | Journal of the London Mathematical Society 73 #2 (2006) 325-338 | |
| dc.identifier | doi:10.1112/S0024610705022489 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/231049 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11E72; 20G15 | |
| dc.title | Totaro's question for G_2, F_4, and E_6 | |
| dc.type | text |