A class of <Emphasis Type="Italic">p</Emphasis>-adic Galois representations arising from abelian varieties over |
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Authors: | Email author" target="_blank">Maja?VolkovEmail author |
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Institution: | (1) Laboratoire de Mathématiques Nicolas Oresme, Université de Caen, Campus II, 5186, 14032 Caen cedex, France |
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Abstract: | Let V be a p-adic representation of the absolute Galois group G of that becomes crystalline over a finite tame extension, and assume p2. We provide necessary and sufficient conditions for V to be isomorphic to the p-adic Tate module Vp() of an abelian variety defined over . These conditions are stated on the filtered (,G)-module attached to V.Mathematics Subject Classification (2000): 14F30, 11G10, 11F80, 14G20, 14F20 |
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