Fesenko Reciprocity Map
| dc.contributor.author | Ikeda, K. I. | |
| dc.contributor.author | Serbest, E. | |
| dc.contributor.other | 01. Atılım University | |
| dc.date.accessioned | 2024-07-05T15:08:36Z | |
| dc.date.available | 2024-07-05T15:08:36Z | |
| dc.date.issued | 2009 | |
| dc.description | Ikeda, Kazim Ilhan/0000-0001-6349-3541 | en_US |
| dc.description.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. | en_US |
| dc.identifier.doi | 10.1090/S1061-0022-09-01054-1 | |
| dc.identifier.issn | 1061-0022 | |
| dc.identifier.issn | 1547-7371 | |
| dc.identifier.scopus | 2-s2.0-85009807696 | |
| dc.identifier.uri | https://doi.org/10.1090/S1061-0022-09-01054-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/1054 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer Mathematical Soc | en_US |
| dc.relation.ispartof | St. Petersburg Mathematical Journal | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Local fields | en_US |
| dc.subject | higher-ramification theory | en_US |
| dc.subject | APF extensions | en_US |
| dc.subject | Fontaine-Wintenberger field of norms | en_US |
| dc.subject | Fesenko reciprocity map | en_US |
| dc.subject | non-Abelian local class field theory | en_US |
| dc.subject | p-adic local Langlands correspondence | en_US |
| dc.title | Fesenko Reciprocity Map | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Ikeda, Kazim Ilhan/0000-0001-6349-3541 | |
| gdc.author.scopusid | 7404891339 | |
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| gdc.author.wosid | Ikeda, Kazim Ilhan/KRO-4825-2024 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [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, England | en_US |
| gdc.description.endpage | 445 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q4 | |
| gdc.description.startpage | 407 | en_US |
| gdc.description.volume | 20 | en_US |
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| gdc.oaire.keywords | APF extensions | |
| gdc.oaire.keywords | higher-ramification theory | |
| gdc.oaire.keywords | Mathematics - Number Theory | |
| gdc.oaire.keywords | Fesenko reciprocity map | |
| gdc.oaire.keywords | 11S37 | |
| gdc.oaire.keywords | Fontaine-Wintenberger field of norms | |
| gdc.oaire.keywords | p-adic local Langlands correspondence | |
| gdc.oaire.keywords | Local fields | |
| gdc.oaire.keywords | non-Abelian local class field theory | |
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