Polygones de Hodge, de Newton et de l'inertie modérée des représentations semi-stables
| dc.creator | Caruso, Xavier | |
| dc.creator | Savitt, David | |
| dc.date | 2008-01-21 | |
| dc.date | 2008-06-13 | |
| dc.date.accessioned | 2026-07-07T09:44:06Z | |
| dc.date.available | 2026-07-07T09:44:06Z | |
| dc.description | Let k be a perfect field, and K be a totally ramified extension of K_0 = Frac W(k) of degree e. To a semi-stable p-adic representation of G_K (the absolute Galois group of K), one can classicaly associate two polygons : the Hodge polygon et the Newton polygon. It is well known that the former lies below the latter, and that they have same endpoints. In this note, we introduce a third polygon gotten from the semi-simplification of the representation mod p, and, under some conditions on Hodge-Tate weights, we prove that it lies above the Hodge polygon again with same endpoint. We finally examine one exemple associated to a crystalline representation. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/0801.3166 | |
| dc.identifier | http://arxiv.org/abs/0801.3166 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/162749 | |
| dc.subject | Number Theory | |
| dc.subject | 11S23 | |
| dc.title | Polygones de Hodge, de Newton et de l'inertie modérée des représentations semi-stables | |
| dc.type | text |