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Mathematics of the USSR-Izvestiya, 1989, Volume 33, Issue 3, Pages 575–595
DOI: https://doi.org/10.1070/IM1989v033n03ABEH000857 (Mi im1229) 		 
This article is cited in 8 scientific papers (total in 8 papers)

K3 surfaces over number fields and $l$-adic representations

S. G. Tankeev
English version PDF (1012 kB) Citations (8) Russian version article
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DOI: https://doi.org/10.1070/IM1989v033n03ABEH000857
Abstract: The Tate conjecture on algebraic cycles is proved for any algebraic K3 surface over a number field. If the canonical representation of the Hodge group in the $\mathbf Q$-lattice of transcendental cohomology classes is absolutely irreducible, then the Mumford–Tate conjecture is true for such a K3 surface.
Bibliography: 18 titles.
Received: 14.04.1987
Bibliographic databases:
UDC: 513.6
MSC: Primary 14J28, 14G13, 11G35; Secondary 14G25, 14K15
Language: English
Original paper language: Russian
Citation: S. G. Tankeev, “K3 surfaces over number fields and $l$-adic representations”, Math. USSR-Izv., 33:3 (1989), 575–595
Citation in format AMSBIB
\Bibitem{Tan88}
\by S.~G.~Tankeev
\paper K3 surfaces over number fields and $l$-adic representations
\jour Math. USSR-Izv.
\yr 1989
\vol 33
\issue 3
\pages 575--595
\mathnet{http://mi.mathnet.ru//eng/im1229}
\crossref{https://doi.org/10.1070/IM1989v033n03ABEH000857}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=984218}
\zmath{https://zbmath.org/?q=an:0679.14019}
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    • This publication is cited in the following 8 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
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    Abstract page:383
    Russian version PDF:108
    English version PDF:26
    References:63
    First page:1
     
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