Mathematics of the USSR-Izvestiya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1988, Volume 52, Issue 6, Pages 1252–1271
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”, Izv. Akad. Nauk SSSR Ser. Mat., 52:6 (1988), 1252–1271; 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 Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1988
\vol 52
\issue 6
\pages 1252--1271
\mathnet{http://mi.mathnet.ru/im1229}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=984218}
\zmath{https://zbmath.org/?q=an:0679.14019}
\transl
\jour Math. USSR-Izv.
\yr 1989
\vol 33
\issue 3
\pages 575--595
\crossref{https://doi.org/10.1070/IM1989v033n03ABEH000857}
Linking options:
  • https://www.mathnet.ru/eng/im1229
  • https://doi.org/10.1070/IM1989v033n03ABEH000857
  • https://www.mathnet.ru/eng/im/v52/i6/p1252
    • 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
    Statistics & downloads:
    Abstract page:376
    Russian version PDF:106
    English version PDF:23
    References:61
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024