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Mathematics of the USSR-Sbornik, 1972, Volume 18, Issue 2, Pages 169–179
DOI: https://doi.org/10.1070/SM1972v018n02ABEH001749 (Mi sm3224) 		 
This article is cited in 4 scientific papers (total in 5 papers)

Height on families of Abelian varieties

Yu. G. Zarhin, Yu. I. Manin
English version PDF (564 kB) Citations (5)
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DOI: https://doi.org/10.1070/SM1972v018n02ABEH001749
Abstract: Let $X$ be an Abelian variety imbedded in projective space, and let $L$ be an induced invertible sheaf on $X$.
In this paper explicit bounds are determined for the difference $\widehat h_L-h_L$, where $\widehat h_L$ is the Neron–Tate height and $h_L$ is the Weil height.
Bibliography: 5 titles.
Received: 30.05.1972
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1972, Volume 89(131), Number 2(10), Pages 171–181
Bibliographic databases:
Document Type: Article
UDC: 513.015.7
MSC: 14K05
Language: English
Original paper language: Russian
Citation: Yu. G. Zarhin, Yu. I. Manin, “Height on families of Abelian varieties”, Math. USSR-Sb., 18:2 (1972), 169–179
Citation in format AMSBIB
\Bibitem{ZarMan72}
\by Yu.~G.~Zarhin, Yu.~I.~Manin
\paper Height on families of Abelian varieties
\jour Math. USSR-Sb.
\yr 1972
\vol 18
\issue 2
\pages 169--179
\mathnet{http://mi.mathnet.ru//eng/sm3224}
\crossref{https://doi.org/10.1070/SM1972v018n02ABEH001749}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=332801}
\zmath{https://zbmath.org/?q=an:0256.14018}
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  • https://www.mathnet.ru/eng/sm/v131/i2/p171
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Statistics & downloads:
    Abstract page:450
    Russian version PDF:158
    English version PDF:19
    References:65
    First page:2
     
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