Limites de représentations cristallines

Details Limites de représentations cristallines Limites de représentations cristallines

2002-01-27

arxiv.org/abs/math/0201262v2

Mathematics

Number Theory

15 pages, in French

Scientific paper

We provide an answer to two questions of Fontaine (in the unramified case).
First, we show that a limit of crystalline representations, of bounded
Hodge-Tate weights, is itself crystalline.
Second, we show that every admissible filtered $\phi$-module "comes from" a
$(\phi,\Gamma)$-module of finite q-height.

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