A p - ADIC FAMILY OF DIHEDRAL ( φ , Γ ) - MODULES by
نویسنده
چکیده
— The goal of this article is to construct explicitly a p-adic family of representations (which are dihedral representations), to construct their associated (φ,Γ)-modules by writing down explicit matrices for φ and for the action of Γ, and finally to determine which of these are trianguline. Résumé (Une famille p-adique de (φ,Γ)-modules diédraux). — L’objet de cet article est de construire explicitement une famille p-adique de représentations (qui sont des représentations diédrales), de construire les (φ,Γ)-modules qui leurs sont associés en donnant des matrices explicites pour φ et pour l’action de Γ, et finalement de déterminer lesquelles sont triangulines.
منابع مشابه
On families of phi , Gamma - modules
Berger and Colmez introduced a theory of families of overconvergent étale (φ,Γ)-modules associated to families of p-adic Galois representations over p-adic Banach algebras. However, in contrast with the classical theory of (φ,Γ)-modules, the functor they obtain is not an equivalence of categories. In this paper, we prove that when the base is an affinoid space, every family of (overconvergent) ...
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