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Quasi-semi-stable representations

Xavier CarusoTong Liu — 2009

Bulletin de la Société Mathématique de France

Fix K a p -adic field and denote by G K its absolute Galois group. Let K be the extension of K obtained by adding p n -th roots of a fixed uniformizer, and G G K its absolute Galois group. In this article, we define a class of p -adic torsion representations of G , called. We prove that these representations are “explicitly” described by a certain category of linear algebraic objects. The results of this note should be considered as a first step in the understanding of the structure of quotient of two lattices...

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