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Sbornik: Mathematics, 2003, Volume 194, Issue 2, Pages 199–223
DOI: https://doi.org/10.1070/SM2003v194n02ABEH000712 (Mi sm712) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Abstract class field theory (a finitary approach)

Yu. L. Ershov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
English version PDF (283 kB) Citations (4)
References:
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DOI: https://doi.org/10.1070/SM2003v194n02ABEH000712
Abstract: A definition of the reciprocity homomorphism in Neukirch's abstract class field theory is given. This definition uses fairly large additional non-ramified extensions, but they are all finite. This will enable one to apply the theory thus constructed to the effectivization (algorithmization) of local and global class field theory alike.
The combination of Neukirch's and Hazewinkel's approaches used in the paper clarifies class field theory even at the abstract level of exposition.
Received: 20.06.2002
Russian version:
Matematicheskii Sbornik, 2003, Volume 194, Number 2, Pages 37–60
DOI: https://doi.org/10.4213/sm712
Bibliographic databases:
UDC: 510.53+512.52
MSC: Primary 11R37; Secondary 11G45, 11S31, 14L05
Language: English
Original paper language: Russian
Citation: Yu. L. Ershov, “Abstract class field theory (a finitary approach)”, Mat. Sb., 194:2 (2003), 37–60; Sb. Math., 194:2 (2003), 199–223
Citation in format AMSBIB
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  • https://doi.org/10.1070/SM2003v194n02ABEH000712
  • https://www.mathnet.ru/eng/sm/v194/i2/p37
    Erratum
    This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:599
    Russian version PDF:263
    English version PDF:8
    References:81
    First page:3
     
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