Higher Fields of Norms and ( φ , Γ ) - Modules Dedicated to
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چکیده
We describe a generalisation of the FontaineWintenberger theory of the “field of norms” functor to local fields with imperfect residue field, generalising work of Abrashkin for higher dimensional local fields. We also compute the cohomology of associated p-adic Galois representations using (φ,Γ)-modules. 2000 Mathematics Subject Classification: 11S15, 11S23, 11S25, 12G05
منابع مشابه
Higher Fields of Norms and (φ, Γ)-modules
We describe a generalisation of the FontaineWintenberger theory of the “field of norms” functor to local fields with imperfect residue field, generalising work of Abrashkin for higher dimensional local fields. We also compute the cohomology of associated p-adic Galois representations using (φ,Γ)-modules. 2000 Mathematics Subject Classification: 11S15, 11S23, 11S25, 12G05
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تاریخ انتشار 2006