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Mathematics of the USSR-Sbornik, 1976, Volume 30, Issue 4, Pages 478–500
DOI: https://doi.org/10.1070/SM1976v030n04ABEH002284 (Mi sm2912) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The rational points on the Jacobians of modular curves

V. G. Berkovich
English version PDF (1818 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM1976v030n04ABEH002284
Abstract: In this paper a theorem on the rank of the group of rational points of an Abelian variety with a sufficiently large ring of endomorphisms is proved. It is applied to construct nontrivial factors of the Jacobians of modular curves with finite groups of rational points and to prove finiteness theorems for modular curves.
Bibliography: 20 titles.
Received: 02.02.1976
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1976, Volume 101(143), Number 4(12), Pages 542–567
Bibliographic databases:
UDC: 513.015.7
MSC: Primary 10D20, 14K15; Secondary 14G25, 10D05, 14H40
Language: English
Original paper language: Russian
Citation: V. G. Berkovich, “The rational points on the Jacobians of modular curves”, Mat. Sb. (N.S.), 101(143):4(12) (1976), 542–567; Math. USSR-Sb., 30:4 (1976), 478–500
Citation in format AMSBIB
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\by V.~G.~Berkovich
\paper The rational points on the Jacobians of modular curves
\jour Mat. Sb. (N.S.)
\yr 1976
\vol 101(143)
\issue 4(12)
\pages 542--567
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=491503}
\zmath{https://zbmath.org/?q=an:0346.14014}
\transl
\jour Math. USSR-Sb.
\yr 1976
\vol 30
\issue 4
\pages 478--500
\crossref{https://doi.org/10.1070/SM1976v030n04ABEH002284}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1976FU24400004}
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  • https://doi.org/10.1070/SM1976v030n04ABEH002284
  • https://www.mathnet.ru/eng/sm/v143/i4/p542
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:323
    Russian version PDF:119
    English version PDF:21
    References:50
     
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