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Mathematics of the USSR-Izvestiya, 1988, Volume 31, Issue 3, Pages 527–540
DOI: https://doi.org/10.1070/IM1988v031n03ABEH001088 (Mi im1338) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Cycles on simple Abelian varieties of prime dimension over number fields

S. G. Tankeev
English version PDF (673 kB) Citations (9) Russian version article
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DOI: https://doi.org/10.1070/IM1988v031n03ABEH001088
Abstract: For all simple Abelian varieties of prime dimension over number fields the author proves 1) a version of the Mumford–Tate conjecture, asserting that the Lie algebra of the image of the $l$-adic representation is isomorphic to the Lie algebra of the set of $\mathbf Q_l$-points of the Mumford–Tate group, and 2) the Tate conjecture on cycles.
Bibliography: 21 titles.
Received: 24.12.1985
Bibliographic databases:
UDC: 513.6
MSC: 14K15, 14C99
Language: English
Original paper language: Russian
Citation: S. G. Tankeev, “Cycles on simple Abelian varieties of prime dimension over number fields”, Math. USSR-Izv., 31:3 (1988), 527–540
Citation in format AMSBIB
\Bibitem{Tan87}
\by S.~G.~Tankeev
\paper Cycles on simple Abelian varieties of prime dimension over number fields
\jour Math. USSR-Izv.
\yr 1988
\vol 31
\issue 3
\pages 527--540
\mathnet{http://mi.mathnet.ru/eng/im1338}
\crossref{https://doi.org/10.1070/IM1988v031n03ABEH001088}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=933962}
\zmath{https://zbmath.org/?q=an:0681.14022|0656.14023}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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