A class of p-adic Galois representations arising from abelian varierties over Q_p

M. Volkov

A class of p-adic Galois representations arising from abelian varierties over Q_p

Number Theory 2007-05-23 v2

Authors: M. Volkov

Abstract

Let V be a p-adic representation of the absolute Galois group G of Q_p 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 V_p(A) of an abelian variety A defined over Q_p. These conditions are stated on the filtered (\phi,G)-module attached to V.

Keywords

p-adic galois representations abelian varieties crystalline representations filtered (phi,g)-modules tate module

Cite

@article{arxiv.math/0305314,
  title  = {A class of p-adic Galois representations arising from abelian varierties over Q_p},
  author = {M. Volkov},
  journal= {arXiv preprint arXiv:math/0305314},
  year   = {2007}
}

Comments

28 pages

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