Limites de représentations cristallines

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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.
15 pages, in French

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Number Theory, Algebraic Geometry, 14S30

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http://salesiana.dossiersoluciones.com/handle/123456789/63213

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0201262
 http://arxiv.org/abs/math/0201262

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arXiv