I. B. Fesenko, “Class field theory of multidimensional local fields of characteristic 0 with residue field of positive characteristic”, Algebra i Analiz, 3:3 (1991), 165–196; St. Petersburg Math. J., 3:3 (1992), 649

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Algebra i Analiz, 1991, Volume 3, Issue 3, Pages 165–196 (Mi aa260)

This article is cited in 12 scientific papers (total in 12 papers)

Research Papers

Class field theory of multidimensional local fields of characteristic 0 with residue field of positive characteristic

I. B. Fesenko

Leningrad State University, Department of Mathematics and Mechanics

Full-text PDF (1758 kB) Citations (12)

Received: 25.06.1990

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: I. B. Fesenko, “Class field theory of multidimensional local fields of characteristic 0 with residue field of positive characteristic”, Algebra i Analiz, 3:3 (1991), 165–196; St. Petersburg Math. J., 3:3 (1992), 649–678

Citation in format AMSBIB

\Bibitem{Fes91}

\by I.~B.~Fesenko

\paper Class field theory of multidimensional local fields of characteristic~0 with residue field of positive characteristic

\jour Algebra i Analiz

\yr 1991

\vol 3

\issue 3

\pages 165--196

\mathnet{http://mi.mathnet.ru/aa260}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1150559}

\zmath{https://zbmath.org/?q=an:0791.11064|0752.11054}

\transl

\jour St. Petersburg Math. J.

\yr 1992

\vol 3

\issue 3

\pages 649--678

Linking options:

https://www.mathnet.ru/eng/aa260

https://www.mathnet.ru/eng/aa/v3/i3/p165

Cycle of papers

Class field theory of multidimensional local fields of characteristic 0 with residue field of positive characteristic
I. B. Fesenko
Algebra i Analiz, 1991, 3:3, 165–196
A multidimensional local theory of class fields. II
I. B. Fesenko
Algebra i Analiz, 1991, 3:5, 168–189

This publication is cited in the following 12 articles:

Fesenko I., “Class Field Theory, Its Three Main Generalisations, and Applications”, EMS Surv. Math. Sci., 8:1-2 (2021), 107–133
Ikeda K.I., Serbest E., “Local Abelian Kato-Parshin Reciprocity Law: a Survey”, Hacet. J. Math. Stat., 50:5 (2021), 1225–1250
Fesenko I.B. Vostokov S.V. Yoon S.H., “Generalised Kawada-Satake Method For Mackey Functors in Class Field Theory”, Eur. J. Math., 4:3, 2, SI (2018), 953–987
Vostokov S.V. Afanas'eva S.S. Bondarko M.V. Volkov V.V. Demchenko O.V. Ikonnikova E.V. Zhukov I.B. Nekrasov I.I. Pital P.N., “Explicit Constructions and the Arithmetic of Local Number Fields”, Vestnik St. Petersburg Univ. Math., 50:3 (2017), 242–264
I. B. Zhukov, “On ramification theory in the imperfect residue field case”, Sb. Math., 194:12 (2003), 1747–1774
Fukaya, T, “The theory of Coleman power series for K-2”, Journal of Algebraic Geometry, 12:1 (2003), 1
Shiho, A, “A note on class field theory for two-dimensional local rings”, Compositio Mathematica, 124:3 (2000), 305
Kurihara, M, “The exponential homomorphisms for the Milnor K-groups and an explicit reciprocity law”, Journal fur Die Reine und Angewandte Mathematik, 498 (1998), 201
Bell, RA, “On the properties of the Vostokov and Parshin pairing in higher local class field theory”, Journal of Pure and Applied Algebra, 108:1 (1996), 7
Fesenko, IB, “On general local reciprocity maps”, Journal fur Die Reine und Angewandte Mathematik, 473 (1996), 207
FESENKO, IB, “ABELIAN LOCAL P-CLASS FIELD-THEORY”, Mathematische Annalen, 301:3 (1995), 561
I. B. Fesenko, “Local class field theory: perfect residue field case”, Russian Acad. Sci. Izv. Math., 43:1 (1994), 65–81

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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