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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
References:
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
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”, 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 Math. USSR-Izv.
\yr 1973
\vol 7
\issue 1
\pages 19--84
\mathnet{http://mi.mathnet.ru//eng/im2211}
\crossref{https://doi.org/10.1070/IM1973v007n01ABEH001924}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=335525}
\zmath{https://zbmath.org/?q=an:0259.14009}
Linking options:
  • https://www.mathnet.ru/eng/im2211
  • https://doi.org/10.1070/IM1973v007n01ABEH001924
  • 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
    Statistics & downloads:
    Abstract page:261
    Russian version PDF:125
    English version PDF:10
    References:55
    First page:1
     
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