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Limites de représentations cristallines

Laurent Berger
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Abstract

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 $ϕ$-module "comes from" a $(ϕ,Γ)$-module of finite q-height.

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Laurent Berger. 2002-05-14. Limites de représentations cristallines. https://arxiv.org/abs/math/0201262

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