Motivic torsors
| dc.creator | Flicker, Yuval Z. | |
| dc.date | 2000-03-16 | |
| dc.date.accessioned | 2026-07-07T04:34:20Z | |
| dc.date.available | 2026-07-07T04:34:20Z | |
| dc.description | The torsor P_s=Hom(H_{\DR},H_s) under the motivic Galois group G_s=Aut H_s of the Tannakian category M_k generated by one-motives related by absolute Hodge cycles over a field k with an embedding s into the complex numbers is shown to be determined by its global projection [P_s\to (P_s)/(G_s)^0] to a Gal(\ov k/k)-torsor, and by its localizations (P_s) x_k (k_ξ) at a dense subset of orderings ξof the field k, provided k has virtual cohomological dimension (vcd) one. This result is an application of a recent local-global principle for connected linear algebraic groups over a field k of vcd=1. | |
| dc.description | 12 pages, AMSTeX. Israel J. Math., accepted for publication | |
| dc.identifier | https://arxiv.org/abs/math/0003101 | |
| dc.identifier | http://arxiv.org/abs/math/0003101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58864 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | Representation Theory | |
| dc.title | Motivic torsors | |
| dc.type | text |