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Mathematics of the USSR-Sbornik, 1970, Volume 12, Issue 3, Pages 325–342
DOI: https://doi.org/10.1070/SM1970v012n03ABEH000924 (Mi sm3515) 		 
This article is cited in 5 scientific papers (total in 6 papers)

The refined structure of the Néron–Tate height

Yu. I. Manin
English version PDF (1058 kB) Citations (6)
References:
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DOI: https://doi.org/10.1070/SM1970v012n03ABEH000924
Abstract: This paper contains two new results on the height of points on abelian varieties. The first of these is that the height is a special case of a construction involving the quasi-character of the group of idele classes. The usual height yields the “idele modulus”. The second result establishes the existence of a class of canonically restricted heights. Applications to diophantine problems are given.
Bibliography: 12 titles.
Received: 28.05.1970
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1970, Volume 83(125), Number 3(11), Pages 331–348
Bibliographic databases:
Document Type: Article
UDC: 513.015.7
MSC: 11G50, 14G40, 14K05, 11D45, 11D75, 14Nxx
Language: English
Original paper language: Russian
Citation: Yu. I. Manin, “The refined structure of the Néron–Tate height”, Mat. Sb. (N.S.), 83(125):3(11) (1970), 331–348; Math. USSR-Sb., 12:3 (1970), 325–342
Citation in format AMSBIB
\Bibitem{Man70}
\by Yu.~I.~Manin
\paper The refined structure of the N\'eron--Tate height
\jour Mat. Sb. (N.S.)
\yr 1970
\vol 83(125)
\issue 3(11)
\pages 331--348
\mathnet{http://mi.mathnet.ru/sm3515}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=276245}
\zmath{https://zbmath.org/?q=an:0214.48402}
\transl
\jour Math. USSR-Sb.
\yr 1970
\vol 12
\issue 3
\pages 325--342
\crossref{https://doi.org/10.1070/SM1970v012n03ABEH000924}
Linking options:
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  • https://doi.org/10.1070/SM1970v012n03ABEH000924
  • https://www.mathnet.ru/eng/sm/v125/i3/p331
    Erratum
    This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:384
    Russian version PDF:139
    English version PDF:27
    References:50
    First page:2
     
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