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arxiv: 0903.2183 · v1 · submitted 2009-03-12 · 🧮 math.NT

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

classification 🧮 math.NT
keywords gammaconstructdihedralfamilymodulesp-adicrepresentationsaction
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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.

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