Wintenberger's Functor for Abelian Extensions

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dc.creatorKeating, Kevin
dc.date2008-05-19
dc.date.accessioned2026-07-07T09:39:44Z
dc.date.available2026-07-07T09:39:44Z
dc.descriptionLet $k$ be a finite field. Wintenberger used the field of norms to give an equivalence between a category whose objects are totally ramified abelian $p$-adic Lie extensions $E/F$, where $F$ is a local field with residue field $k$, and a category whose objects are pairs $(K,A)$, where $K\cong k((T))$ and $A$ is an abelian $p$-adic Lie subgroup of $\Aut_k(K)$. In this paper we extend this equivalence to allow $\Gal(E/F)$ and $A$ to be arbitrary abelian pro-$p$ groups.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0805.2932
dc.identifierhttp://arxiv.org/abs/0805.2932
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161283
dc.subjectNumber Theory
dc.subject11S15
dc.titleWintenberger's Functor for Abelian Extensions
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