A class of p-adic Galois representations arising from abelian varierties over Qp
M. Volkov
Abstract
Let V be a p-adic representation of the absolute Galois group G of Qp that becomes crystalline over a finite tame extension, and assume p odd. We provide necessary and sufficient conditions for V to be isomorphic to the Tate module Vp(A) of an abelian variety A defined over Qp. These conditions are stated on the filtered (ϕ,G)-module attached to V.
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