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Matematicheskie Zametki, 1976, Volume 19, Issue 3, Pages 393–400 (Mi mzm7758)  
This article is cited in 10 scientific papers (total in 10 papers)

Abelian varieties in characteristic $p$

Yu. G. Zarhin

Scientific-Research Computing Center, Academy of Sciences of the USSR,
Full-text PDF (505 kB) Citations (10)
Abstract: In this paper Tate's finiteness conjecture for isogenies of polarized Abelian varieties in characteristic $p>2$ is proved. From this conjecture it is deduced that Tate modules are semisimple and that Tate's conjecture on the homomorphisms of Abelian varieties is valid.
Received: 30.06.1975
English version:
Mathematical Notes, 1976, Volume 19, Issue 3, Pages 240–244
DOI: https://doi.org/10.1007/BF01437858
Bibliographic databases:
UDC: 512
Language: Russian
Citation: Yu. G. Zarhin, “Abelian varieties in characteristic $p$”, Mat. Zametki, 19:3 (1976), 393–400; Math. Notes, 19:3 (1976), 240–244
Citation in format AMSBIB
\Bibitem{Zar76}
\by Yu.~G.~Zarhin
\paper Abelian varieties in characteristic $p$
\jour Mat. Zametki
\yr 1976
\vol 19
\issue 3
\pages 393--400
\mathnet{http://mi.mathnet.ru/mzm7758}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=422287}
\zmath{https://zbmath.org/?q=an:0342.14011}
\transl
\jour Math. Notes
\yr 1976
\vol 19
\issue 3
\pages 240--244
\crossref{https://doi.org/10.1007/BF01437858}
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  • https://www.mathnet.ru/eng/mzm/v19/i3/p393
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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