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- W1583510086 abstract "Abstract We construct a generalization of the field of norms functor, due to J.-M. Fontaine and J.-P. Wintenberger for local fields, in the case of a ring R which is p-adically formally etale over the Tate algebra of convergent power series V { T 1 , T 1 −1 , … , T d , T d −1 } over a complete discrete valuation ring V of characteristic 0 and with perfect residue field of positive characteristic p. We use this to show that the category of p-adic representations of the fundamental group of R [ 1 p ] is equivalent, as a tensor abelian category, to the category of so-called etale ( φ , Γ R ) -modules." @default.
- W1583510086 created "2016-06-24" @default.
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- W1583510086 date "2006-07-01" @default.
- W1583510086 modified "2023-10-14" @default.
- W1583510086 title "Generalized ring of norms and generalized (φ,Γ)(φ,Γ)-modules" @default.
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- W1583510086 doi "https://doi.org/10.1016/j.ansens.2006.07.003" @default.
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