2008/05/22 by Kâzım İlhan İkeda, Kâzim İlhan Ikeda, Ikeda, Kâzim İlhan +2
Computer Science · Mathematics · #11S37 #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT) #Polynomial and algebraic computation #math.NT #msc:11S37
paper · pdf · doi:10.48550/arxiv.0805.3420
45 pages. To appear in Algebra i Analiz
arxiv created 2008/05/22 · openalex publication_date 2008/05/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.