Construction de représentations $p$-adiques
نویسندگان
چکیده
منابع مشابه
Représentations P-adiques Et Normes Universelles
Let V be a crystalline p-adic representation of the absolute Galois group GK of an finite unramified extension K of Qp and T a lattice of V stable by GK . We prove the following result : Let FilV be the maximal sub-representation of V with Hodge-Tate weights strictly positive and FilT = T ∩ FilV . Then, the projective limit of the H g (K(μpn), T ) is equal up to torsion to the projective limit ...
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(2π)Γ(s)Lτ (s) is invariant under s 7→ 12 − s. The Ramanujan conjecture affirms that the roots of the polynomial Hp are of absolute value p −11/2 (i.e. that |τ(p)| < 2p). These properties, proven or conjectural, are similar to conjectural properties of zeta functions of algebraic varieties over Q. Suggested by this, in a first approximation, it is tempting to interpret the function Lτ as the ze...
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We study function fields over p-adically closed fields in the first-order language of fields. Using ideas of Duret [D], we show that the field of constants is definable, and that the genus is an elementary property. ?0. Introduction. Soit p un nombre premier fixed. Un corps p-adiquement clos est un corps elementairement equivalent au corps des nombres p-adiques, Qp. Le langage des corps sera le...
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ژورنال
عنوان ژورنال: Annales scientifiques de l'École normale supérieure
سال: 1982
ISSN: 0012-9593,1873-2151
DOI: 10.24033/asens.1437