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Algebra i Analiz, 2008, Volume 20, Issue 3, Pages 112–162 (Mi aa515)  
This article is cited in 6 scientific papers (total in 6 papers)

Research Papers

Fesenko Reciprocity Map

K. I. Ikedaa, E. Serbestb

a Department of Mathematics, Istanbul Bilgi University, Istanbul, Turkey
b Department of Mathematics, Atilim University, Ankara, Turkey
Full-text PDF (564 kB) Citations (6)
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Abstract: In recent papers Fesenko has defined the non-Abelian local reciprocity map for every totally ramified arithmetically profinite ($APF$) Galois extension of a given local field $K$, by extending the work of Hazewinkel and Neukirch–Iwasawa. The theory of Fesenko extends the previous non-Abelian generalizations of local class field theory given by Koch –de Shalit and by A. Gurevich. In this paper, which is research-expository in nature, we give a detailed account of Fesenko's work, including all the skipped proofs.
Keywords: local fields, higher-ramification theory, $APF$-extensions Fontaine–Wintenberger field of norms, Fesenko reciprocity map, non-Abelian local class field theory, $p$-adic local Langlands correspondence.
Received: 20.08.2007
English version:
St. Petersburg Mathematical Journal, 2009, Volume 20, Issue 3, Pages 407–445
DOI: https://doi.org/10.1090/S1061-0022-09-01054-1
Bibliographic databases:
Document Type: Article
MSC: 11S20, 11S31
Language: English
Citation: K. I. Ikeda, E. Serbest, “Fesenko Reciprocity Map”, Algebra i Analiz, 20:3 (2008), 112–162; St. Petersburg Math. J., 20:3 (2009), 407–445
Citation in format AMSBIB
\Bibitem{IkeSer08}
\by K.~I.~Ikeda, E.~Serbest
\paper Fesenko Reciprocity Map
\jour Algebra i Analiz
\yr 2008
\vol 20
\issue 3
\pages 112--162
\mathnet{http://mi.mathnet.ru/aa515}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2454454}
\zmath{https://zbmath.org/?q=an:1206.11138}
\transl
\jour St. Petersburg Math. J.
\yr 2009
\vol 20
\issue 3
\pages 407--445
\crossref{https://doi.org/10.1090/S1061-0022-09-01054-1}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000267497700005}
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  • https://www.mathnet.ru/eng/aa/v20/i3/p112
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:407
    Full-text PDF :114
    References:54
    First page:5
     
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