Existence de filtrations admissibles sur des isocristaux
| dc.creator | Fontaine, J. -M. | |
| dc.creator | Rapoport, M. | |
| dc.date | 2002-04-24 | |
| dc.date.accessioned | 2026-07-07T04:48:03Z | |
| dc.date.available | 2026-07-07T04:48:03Z | |
| dc.description | Let (D,phi) be an isocrystal over an algebraically closed field of characteristic p. Let F^bullet be a filtration on D. If F^bullet is (weakly) admissible, its type vector is greater or equal to the slope vector of (D,phi). We prove that conversely, give a type mu greater or equal to the slope vector of (D,phi), there exists an admissible filtration F^bullet on D of type vector equal to mu. We also give a group theoretic version of this statement and relate it to the existence of lattices M in D with mu(M)=mu. | |
| dc.description | 10 pages, AMS-TeX | |
| dc.identifier | https://arxiv.org/abs/math/0204293 | |
| dc.identifier | http://arxiv.org/abs/math/0204293 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63901 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Primary 11S25; Secondary 14L05; 14F30 | |
| dc.title | Existence de filtrations admissibles sur des isocristaux | |
| dc.type | text |