A p-adic family of dihedral (phi,Gamma)-modules

Laurent Berger (1)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

The goal of this article is to construct explicitly a p-adic family of representations (which are dihedral representations), to construct their associated (phi,Gamma)-modules by writing down explicit matrices for phi and for the action of Gamma, and finally to determine which of these are trianguline.

Domains: Number Theory [math.NT]

Laurent Berger. A p-adic family of dihedral (phi,Gamma)-modules. International Journal of Number Theory, 2011, 7 (7), pp.1825--1834. ⟨hal-00605401⟩