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Mathematics of the USSR-Izvestiya, 1991, Volume 37, Issue 1, Pages 191–208
DOI: https://doi.org/10.1070/IM1991v037n01ABEH002059 (Mi im1077) 		 
This article is cited in 8 scientific papers (total in 8 papers)

K3 surfaces over number fields and the Mumford–Tate conjecture

S. G. Tankeev

Vladimir Polytechnical Institute
English version PDF (736 kB) Citations (8) Russian version article
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DOI: https://doi.org/10.1070/IM1991v037n01ABEH002059
Abstract: Given a K3 surface $S$ over a number field $k$, the author computes the semisimple part of the Lie algebra of the image of the $l$-adic representation in 2-dimensional cohomology of $S$ under the condition that $\operatorname{rank}NS(S\otimes_k\bar k)\ne2$.
Received: 29.11.1988
Bibliographic databases:
UDC: 513.6
MSC: Primary 14J28, 14J20; Secondary 14C30, 14K15, 11S25
Language: English
Original paper language: Russian
Citation: S. G. Tankeev, “K3 surfaces over number fields and the Mumford–Tate conjecture”, Math. USSR-Izv., 37:1 (1991), 191–208
Citation in format AMSBIB
\Bibitem{Tan90}
\by S.~G.~Tankeev
\paper K3 surfaces over number fields and the Mumford--Tate conjecture
\jour Math. USSR-Izv.
\yr 1991
\vol 37
\issue 1
\pages 191--208
\mathnet{http://mi.mathnet.ru//eng/im1077}
\crossref{https://doi.org/10.1070/IM1991v037n01ABEH002059}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1073088}
\zmath{https://zbmath.org/?q=an:0722.14024}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1991IzMat..37..191T}
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  • https://www.mathnet.ru/eng/im/v54/i4/p846
    • 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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