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Mathematics of the USSR-Izvestiya, 1982, Volume 18, Issue 2, Pages 349–380
DOI: https://doi.org/10.1070/IM1982v018n02ABEH001390 (Mi im1560) 		 
This article is cited in 19 scientific papers (total in 19 papers)

On algebraic cycles on surfaces and Abelian varieties

S. G. Tankeev
English version PDF (1436 kB) Citations (19)
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DOI: https://doi.org/10.1070/IM1982v018n02ABEH001390
Abstract: This paper contains a proof of the Tate conjecture on algebraic cycles on surfaces with strongly degenerate reduction over function fields and the Hodge conjecture on cycles on simple Abelian varieties of the first and second types according to Albert's classification (under certain restrictions on the dimension of the variety and the center of its ring of endomorphisms).
Bibliography: 27 titles.
Received: 21.11.1980
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1981, Volume 45, Issue 2, Pages 398–434
Bibliographic databases:
UDC: 513.6
MSC: Primary 14G13, 14C30, 32J25, 14F30; Secondary 14J05, 14E25, 14K22, 14K05, 14K20
Language: English
Original paper language: Russian
Citation: S. G. Tankeev, “On algebraic cycles on surfaces and Abelian varieties”, Izv. Akad. Nauk SSSR Ser. Mat., 45:2 (1981), 398–434; Math. USSR-Izv., 18:2 (1982), 349–380
Citation in format AMSBIB
\Bibitem{Tan81}
\by S.~G.~Tankeev
\paper On~algebraic cycles on surfaces and Abelian varieties
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1981
\vol 45
\issue 2
\pages 398--434
\mathnet{http://mi.mathnet.ru/im1560}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=616226}
\zmath{https://zbmath.org/?q=an:0551.14010|0493.14014}
\transl
\jour Math. USSR-Izv.
\yr 1982
\vol 18
\issue 2
\pages 349--380
\crossref{https://doi.org/10.1070/IM1982v018n02ABEH001390}
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  • https://www.mathnet.ru/eng/im/v45/i2/p398
    • This publication is cited in the following 19 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:487
    Russian version PDF:143
    English version PDF:30
    References:77
    First page:1
     
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