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Mathematics of the USSR-Izvestiya, 1973, Volume 7, Issue 1, Pages 19–84
DOI: https://doi.org/10.1070/IM1973v007n01ABEH001924 (Mi im2211) 		 
This article is cited in 11 scientific papers (total in 11 papers)

On local “class fields” of elliptic curves

O. N. Vvedenskii
English version PDF (2936 kB) Citations (11)
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DOI: https://doi.org/10.1070/IM1973v007n01ABEH001924
Abstract: In this paper a method is given for computing the Tate–Shafarevich pairing on elliptic curves for simple cyclic extensions. With this foundation the properties of the Tate–Shafarevich pairing are investigated over both a local field and a general local field of definition.
Received: 14.12.1971
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1973, Volume 37, Issue 1, Pages 20–88
Bibliographic databases:
UDC: 513.6
MSC: 12B25, 14H45, 14G20
Language: English
Original paper language: Russian
Citation: O. N. Vvedenskii, “On local “class fields” of elliptic curves”, Izv. Akad. Nauk SSSR Ser. Mat., 37:1 (1973), 20–88; Math. USSR-Izv., 7:1 (1973), 19–84
Citation in format AMSBIB
\Bibitem{Vve73}
\by O.~N.~Vvedenskii
\paper On local ``class fields'' of elliptic curves
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1973
\vol 37
\issue 1
\pages 20--88
\mathnet{http://mi.mathnet.ru/im2211}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=335525}
\zmath{https://zbmath.org/?q=an:0259.14009}
\transl
\jour Math. USSR-Izv.
\yr 1973
\vol 7
\issue 1
\pages 19--84
\crossref{https://doi.org/10.1070/IM1973v007n01ABEH001924}
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  • https://www.mathnet.ru/eng/im/v37/i1/p20
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:259
    Russian version PDF:124
    English version PDF:7
    References:51
    First page:1
     
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