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Article Dans Une Revue Journal de l'École polytechnique — Mathématiques Année : 2014

Lifting the field of norms

Résumé

Let K be a finite extension of Q_p. The field of norms of a p-adic Lie extension K_infty/K is a local field of characteristic p which comes equipped with an action of Gal(K_infty/K). When can we lift this action to characteristic 0, along with a compatible Frobenius map? In this note, we formulate precisely this question, explain its relevance to the theory of (phi,Gamma)-modules, and give a condition for the existence of certain types of lifts.

Dates et versions

hal-00840755 , version 1 (03-07-2013)

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Citer

Laurent Berger. Lifting the field of norms. Journal de l'École polytechnique — Mathématiques, 2014, 1, pp.29--38. ⟨hal-00840755⟩
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