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Mathematics of the USSR-Sbornik, 1971, Volume 14, Issue 4, Pages 615–624
DOI: https://doi.org/10.1070/SM1971v014n04ABEH002824 (Mi sm3281) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Interrelations between the Tate and Hodge conjectures for Abelian varieties

I. I. Pyatetskii-Shapiro
English version PDF (716 kB) Citations (14)
References:
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DOI: https://doi.org/10.1070/SM1971v014n04ABEH002824
Abstract: In the paper the action of the Galois group $G(\overline k\mid k)$ on $H_l^m(A)$ is investigated, where $A$ is an Abelian variety defined over a field $k$ of characteristic zero. We prove that the Galois group acts on the rational cohomology classes of type $(p,p)$ as far as they are algebraic.
Bibliography: 10 titles.
Received: 05.04.1971
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1971, Volume 85(127), Number 4(8), Pages 610–620
Bibliographic databases:
UDC: 519.4+513.836
MSC: Primary 14K05; Secondary 10D25
Language: English
Original paper language: Russian
Citation: I. I. Pyatetskii-Shapiro, “Interrelations between the Tate and Hodge conjectures for Abelian varieties”, Mat. Sb. (N.S.), 85(127):4(8) (1971), 610–620; Math. USSR-Sb., 14:4 (1971), 615–624
Citation in format AMSBIB
\Bibitem{Pya71}
\by I.~I.~Pyatetskii-Shapiro
\paper Interrelations between the Tate and Hodge conjectures for Abelian varieties
\jour Mat. Sb. (N.S.)
\yr 1971
\vol 85(127)
\issue 4(8)
\pages 610--620
\mathnet{http://mi.mathnet.ru/sm3281}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=294352}
\zmath{https://zbmath.org/?q=an:0229.14014}
\transl
\jour Math. USSR-Sb.
\yr 1971
\vol 14
\issue 4
\pages 615--624
\crossref{https://doi.org/10.1070/SM1971v014n04ABEH002824}
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  • https://www.mathnet.ru/eng/sm/v127/i4/p610
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:406
    Russian version PDF:153
    English version PDF:21
    References:42
     
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