Galois cohomology of a $p$-adic field via $(Φ,Γ)$-modules in the imperfect residue field case

dc.creatorMorita, Kazuma
dc.date2005-07-01
dc.date2008-04-24
dc.date.accessioned2026-07-07T09:34:30Z
dc.date.available2026-07-07T09:34:30Z
dc.descriptionFor a $p$-adic local field $K$ with perfect residue field, L. Herr constructed a complex which computes the Galois cohomology of a $p$-torsion representation of the absolute Galois group of $K$ by using the theory of $(Φ,Γ)$-modules. We shall generalize his work to the imperfect residue field (the residue field has a finite $p$-basis) case.
dc.description18 pages, LaTeX, to appear in J. Math. Sci. Univ. Tokyo
dc.identifierhttps://arxiv.org/abs/math/0507009
dc.identifierhttp://arxiv.org/abs/math/0507009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159512
dc.subjectNumber Theory
dc.subject11F30; 13K05
dc.titleGalois cohomology of a $p$-adic field via $(Φ,Γ)$-modules in the imperfect residue field case
dc.typetext

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