Fesenko reciprocity map
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- by K. I. Ikeda and E. Serbest
- St. Petersburg Math. J. 20 (2009), 407-445
- DOI: https://doi.org/10.1090/S1061-0022-09-01054-1
- Published electronically: April 7, 2009
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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.References
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Bibliographic Information
- K. I. Ikeda
- Affiliation: Department of Mathematics, Istanbul Bilgi University, Kurtuluş Deresi Cad. No. 47, Dolapdere, 34440 Beyoǧlu, Istanbul, Turkey
- Address at time of publication: Department of Mathematics, Yeditepe University, 26 Aǧustos Yerleşimi, İnönü Mah., Kayışdaǧı Cad., 34755 Kadıköy, Istanbul, Turkey
- Email: ilhan@bilgi.edu.tr, ilhan.ikeda@yeditepe.edu.tr
- E. Serbest
- Affiliation: Department of Mathematics, Atilim University, Kizilcaşar Köyü, Incek, 06836 Gölbaşı, Ankara, Turkey
- Email: eserbest@atilim.edu.tr
- Received by editor(s): August 20, 2007
- Published electronically: April 7, 2009
- © Copyright 2009 American Mathematical Society
- Journal: St. Petersburg Math. J. 20 (2009), 407-445
- MSC (2000): Primary 11S20, 11S31
- DOI: https://doi.org/10.1090/S1061-0022-09-01054-1
- MathSciNet review: 2454454
Dedicated: Dedicated to our teacher Mehpare Bilhan