Fesenko reciprocity map

Details Fesenko reciprocity map Fesenko reciprocity map

2008-05-22

arxiv.org/abs/0805.3420v1

Mathematics

Number Theory

45 pages. To appear in Algebra i Analiz

Scientific paper

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 works 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.

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