Supersingular representations of GL_2(Q_p) and (phi,Gamma)-modules

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Berger, Laurent
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Abstract
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The purpose of this note is to give a direct proof of the fact that if one applies Colmez' functor to a two dimensional irreducible F_p^bar-representation of Gal(Q_p^bar/Q_p), one gets the restriction to the Borel subgroup of GL_2(Q_p) of a supersingular representation.
Keywords
Mathematics - Number Theory, Mathematics - Representation Theory, 11F33, 11F80, 11F85, 22E50
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