Conjecture de l'inertie modérée de Serre
| dc.creator | Caruso, Xavier | |
| dc.date | 2005-09-29 | |
| dc.date.accessioned | 2026-07-07T06:19:54Z | |
| dc.date.available | 2026-07-07T06:19:54Z | |
| dc.description | Let K be a local field of mixte characteristics. We assume that the residue field is perfect. Let X\_K be a proper smooth scheme over K admitting an integer model X which is proper and semi-stable. In this article, we prove a period isomorphism linking the étale cohomology of X\_Kbar with coefficients in Z/p^n and the log-crystalline cohomology of the special fiber of X. Nevertheless, we have a restriction on the absolute ramification of K and the degree of the cohomologies. We apply the theory to deduce a complete proof of the Serre conjecture on the tame inertia. | |
| dc.description | 57 pages | |
| dc.identifier | https://arxiv.org/abs/math/0509685 | |
| dc.identifier | http://arxiv.org/abs/math/0509685 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95187 | |
| dc.subject | Number Theory | |
| dc.subject | 14B15 ; 11S23 | |
| dc.title | Conjecture de l'inertie modérée de Serre | |
| dc.type | text |