Fesenko Reciprocity Map

dc.authoridIkeda, Kazim Ilhan/0000-0001-6349-3541
dc.authorscopusid7404891339
dc.authorscopusid35786383500
dc.authorwosidIkeda, Kazim Ilhan/KRO-4825-2024
dc.contributor.authorIkeda, K. I.
dc.contributor.authorSerbest, E.
dc.date.accessioned2024-07-05T15:08:36Z
dc.date.available2024-07-05T15:08:36Z
dc.date.issued2009
dc.departmentAtılım Universityen_US
dc.department-temp[Ikeda, K. I.] Istanbul Bilgi Univ, Dept Math, TR-34440 Istanbul, Turkey; [Serbest, E.] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey; [Ikeda, K. I.] Univ Paris 07, Inst Math, Theorie Grp Representat & Applicat, Paris, France; [Ikeda, K. I.] Tata Inst Fundamental Res, Sch Pure Math, Bombay 400005, Maharashtra, India; [Serbest, E.] Univ Nottingham, Sch Math, Nottingham NG7 2RD, Englanden_US
dc.descriptionIkeda, Kazim Ilhan/0000-0001-6349-3541en_US
dc.description.abstractIn 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.en_US
dc.identifier.citationcount1
dc.identifier.doi10.1090/S1061-0022-09-01054-1
dc.identifier.endpage445en_US
dc.identifier.issn1061-0022
dc.identifier.issn1547-7371
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85009807696
dc.identifier.scopusqualityQ4
dc.identifier.startpage407en_US
dc.identifier.urihttps://doi.org/10.1090/S1061-0022-09-01054-1
dc.identifier.urihttps://hdl.handle.net/20.500.14411/1054
dc.identifier.volume20en_US
dc.identifier.wosWOS:000267497700005
dc.identifier.wosqualityQ3
dc.language.isoenen_US
dc.publisherAmer Mathematical Socen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.scopus.citedbyCount1
dc.subjectLocal fieldsen_US
dc.subjecthigher-ramification theoryen_US
dc.subjectAPF extensionsen_US
dc.subjectFontaine-Wintenberger field of normsen_US
dc.subjectFesenko reciprocity mapen_US
dc.subjectnon-Abelian local class field theoryen_US
dc.subjectp-adic local Langlands correspondenceen_US
dc.titleFesenko Reciprocity Mapen_US
dc.typeArticleen_US
dc.wos.citedbyCount1
dspace.entity.typePublication

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