On the etale cohomology of algebraic varieties with totally degenerate reduction over p-adic fields
| dc.creator | Raskind, Wayne | |
| dc.creator | Xarles, Xavier | |
| dc.date | 2003-06-06 | |
| dc.date | 2006-01-25 | |
| dc.date.accessioned | 2026-07-07T06:35:39Z | |
| dc.date.available | 2026-07-07T06:35:39Z | |
| dc.description | Let K be a finite extension of Q_p and X a smooth projective variety over K. We define the notion of totally degenerate reduction of such an X and the associated Chow complexes of the special fibre of a suitable regular proper model of X over the ring of integers of K. If X has such reduction, we then show that for all l, the Q_l-adic etale cohomology of X has a filtration whose graded quotients are isomorphic, as Galois modules, to the tensor product of a finite dimensional Q-vector space (with a finite unramified action of Galois) with twists of Q_l by the cyclotomic character. | |
| dc.description | 29 pages This and math.AG/0601401 replace math.AG/0306123 | |
| dc.identifier | https://arxiv.org/abs/math/0306123 | |
| dc.identifier | http://arxiv.org/abs/math/0306123 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99857 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F20; 14F30 (primary) and 14G20 (secondary) | |
| dc.title | On the etale cohomology of algebraic varieties with totally degenerate reduction over p-adic fields | |
| dc.type | text |