2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63213We 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 FrenchNumber TheoryAlgebraic Geometry14S30text