Fesenko Reciprocity Map
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Dosyalar
Tarih
2009-06
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Mathematical Soc
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
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
Kaynak
St Petersburg Mathematical Journal
WoS Q Değeri
Q2
