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Algebra i Analiz, 1992, Volume 4, Issue 3, Pages 1–41 (Mi aa320)  

This article is cited in 6 scientific papers (total in 6 papers)

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Theory of local fields. Local class field theory. Multidimensional local class field theory

I. B. Fesenko

St. Petersburg State University, Department of Mathematics and Mechanics

Full text: PDF file (2376 kB)

English version:
St. Petersburg Mathematical Journal, 1993, 4:3, 403–438

Bibliographic databases:

Received: 29.01.1992

Citation: I. B. Fesenko, “Theory of local fields. Local class field theory. Multidimensional local class field theory”, Algebra i Analiz, 4:3 (1992), 1–41; St. Petersburg Math. J., 4:3 (1993), 403–438

Citation in format AMSBIB
\Bibitem{Fes92}
\by I.~B.~Fesenko
\paper Theory of local fields. Local class field theory. Multidimensional local class field theory
\jour Algebra i Analiz
\yr 1992
\vol 4
\issue 3
\pages 1--41
\mathnet{http://mi.mathnet.ru/aa320}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1190770}
\zmath{https://zbmath.org/?q=an:0791.11062|0765.11049}
\transl
\jour St. Petersburg Math. J.
\yr 1993
\vol 4
\issue 3
\pages 403--438


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

    This publication is cited in the following articles:
    1. FESENKO, IB, “HASSE-ARF PROPERTY AND ABELIAN EXTENSIONS”, Mathematische Nachrichten, 174 (1995), 81  crossref  mathscinet  zmath  isi
    2. Spiess, L, “Class formations and higher dimensional local class field theory”, Journal of Number Theory, 62:2 (1997), 273  crossref  mathscinet  zmath  isi
    3. O. Yu. Ivanova, “The $\mathbb Z_p$-rank of a topological $K$-group”, St. Petersburg Math. J., 20:4 (2009), 569–591  mathnet  crossref  mathscinet  zmath  isi
    4. O. Yu. Ivanova, “Orders of topological generators of the $K$-group of a standard two-dimensional local field”, J. Math. Sci. (N. Y.), 156:6 (2009), 918–936  mathnet  crossref  zmath
    5. S. S. Afanas'eva, B. M. Bekker, S. V. Vostokov, “The Hilbert symbol in multi-dimensional local fields for Lubin–Tate formal groups”, J. Math. Sci. (N. Y.), 192:2 (2013), 137–153  mathnet  crossref  mathscinet
    6. O. Yu. Ivanova, “Independent generators of the $K$-group of a standard $2$-dimensional field”, St. Petersburg Math. J., 26:4 (2015), 567–592  mathnet  crossref  mathscinet  isi  elib  elib
  • Алгебра и анализ St. Petersburg Mathematical Journal
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