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Mathematics of the USSR-Izvestiya, 1981, Volume 17, Issue 1, Pages 55–72
DOI: https://doi.org/10.1070/IM1981v017n01ABEH001329
(Mi im1843)
 

This article is cited in 19 scientific papers (total in 19 papers)

Points of finite order on an Abelian variety

F. A. Bogomolov
References:
Abstract: In this paper it is shown that the image of the Galois group under an $l$-adic representation in the Tate module of an Abelian variety has an algebraic Lie algebra which contains the scalar matrices as a subalgebra (Serre's conjecture). This paper also proves the finiteness of the intersection of a subgroup of an Abelian variety all of whose elements have order equal to a power of a fixed number with a wide class of subvarieties.
Bibliography: 13 titles.
Received: 22.01.1980
Bibliographic databases:
Document Type: Article
UDC: 513.6
MSC: Primary 14K05; Secondary 14M10
Language: English
Original paper language: Russian
Citation: F. A. Bogomolov, “Points of finite order on an Abelian variety”, Math. USSR-Izv., 17:1 (1981), 55–72
Citation in format AMSBIB
\Bibitem{Bog80}
\by F.~A.~Bogomolov
\paper Points of finite order on an Abelian variety
\jour Math. USSR-Izv.
\yr 1981
\vol 17
\issue 1
\pages 55--72
\mathnet{http://mi.mathnet.ru//eng/im1843}
\crossref{https://doi.org/10.1070/IM1981v017n01ABEH001329}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=587337}
\zmath{https://zbmath.org/?q=an:0466.14015|0453.14018}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981MW12300002}
Linking options:
  • https://www.mathnet.ru/eng/im1843
  • https://doi.org/10.1070/IM1981v017n01ABEH001329
  • https://www.mathnet.ru/eng/im/v44/i4/p782
  • This publication is cited in the following 19 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:650
    Russian version PDF:228
    English version PDF:42
    References:43
    First page:2
     
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