Existence de filtrations admissibles sur des isocristaux
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.math/0204293,
title = {Existence de filtrations admissibles sur des isocristaux},
author = {J. -M. Fontaine and M. Rapoport},
journal= {arXiv preprint arXiv:math/0204293},
year = {2007}
}
Comments
10 pages, AMS-TeX