Geodesic
Fesenko Reciprocity Map
Algebra i analiz, Tome 20 (2008) no. 3, pp. 112-162.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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K. I. Ikeda; E. Serbest. Fesenko Reciprocity Map. Algebra i analiz, Tome 20 (2008) no. 3, pp. 112-162. http://geodesic.mathdoc.fr/item/AA_2008_20_3_a4/

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