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Mathematics of the USSR-Izvestiya, 1992, Volume 39, Issue 1, Pages 855–867
DOI: https://doi.org/10.1070/IM1992v039n01ABEH002229
(Mi im992)
 

This article is cited in 2 scientific papers (total in 2 papers)

Kuga–Satake abelian varieties and $l$-adic representations

S. G. Tankeev

Vladimir Polytechnical Institute
References:
Abstract: Let $J$ be a Kuga–Satake abelian variety defined over a number field $k\hookrightarrow\mathbf C$. Assuming a certain arithmetic condition on the canonical field $K$ associated to $J\otimes_k\mathbf C$, we prove the Mumford–Tate conjecture concerning the Lie algebra of the image of the $l$-adic representation in the one-dimensional cohomology of $J$.
Received: 19.06.1990
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1991, Volume 55, Issue 4, Pages 877–889
Bibliographic databases:
UDC: 513.6
MSC: Primary 11G10, 14K15; Secondary 14G25
Language: English
Original paper language: Russian
Citation: S. G. Tankeev, “Kuga–Satake abelian varieties and $l$-adic representations”, Izv. Akad. Nauk SSSR Ser. Mat., 55:4 (1991), 877–889; Math. USSR-Izv., 39:1 (1992), 855–867
Citation in format AMSBIB
\Bibitem{Tan91}
\by S.~G.~Tankeev
\paper Kuga--Satake abelian varieties and $l$-adic representations
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1991
\vol 55
\issue 4
\pages 877--889
\mathnet{http://mi.mathnet.ru/im992}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1137590}
\zmath{https://zbmath.org/?q=an:0791.14020}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992IzMat..39..855T}
\transl
\jour Math. USSR-Izv.
\yr 1992
\vol 39
\issue 1
\pages 855--867
\crossref{https://doi.org/10.1070/IM1992v039n01ABEH002229}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992JQ84600008}
Linking options:
  • https://www.mathnet.ru/eng/im992
  • https://doi.org/10.1070/IM1992v039n01ABEH002229
  • https://www.mathnet.ru/eng/im/v55/i4/p877
  • 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
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:375
    Russian version PDF:94
    English version PDF:16
    References:54
    First page:2
     
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