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Mathematics of the USSR-Izvestiya, 1975, Volume 9, Issue 2, Pages 255–260
DOI: https://doi.org/10.1070/IM1975v009n02ABEH001476 (Mi im1830) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Endomorphisms of abelian varieties over fields of finite characteristic

Yu. G. Zarhin
English version PDF (287 kB) Citations (12)
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DOI: https://doi.org/10.1070/IM1975v009n02ABEH001476
Abstract: The semisimplicity of $l$-adic representations corresponding to one-dimensional étale cohomology, and a proof of the Tate's conjecture about homomorphisms of abelian varieties, are derived from the Tate's finiteness conjecture on isogenies of polarized abelian varieties.
Bibliography: 4 items.
Received: 21.06.1974
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1975, Volume 39, Issue 2, Pages 272–277
Bibliographic databases:
UDC: 513.6
MSC: Primary 14K05; Secondary 14J99, 14H99
Language: English
Original paper language: Russian
Citation: Yu. G. Zarhin, “Endomorphisms of abelian varieties over fields of finite characteristic”, Math. USSR-Izv., 9:2 (1975), 255–260
Citation in format AMSBIB
\Bibitem{Zar75}
\by Yu.~G.~Zarhin
\paper Endomorphisms of abelian varieties over fields of finite characteristic
\jour Math. USSR-Izv.
\yr 1975
\vol 9
\issue 2
\pages 255--260
\mathnet{http://mi.mathnet.ru//eng/im1830}
\crossref{https://doi.org/10.1070/IM1975v009n02ABEH001476}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=371897}
\zmath{https://zbmath.org/?q=an:0345.14014}
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  • https://www.mathnet.ru/eng/im/v39/i2/p272
    • This publication is cited in the following 12 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:382
    Russian version PDF:152
    English version PDF:21
    References:49
    First page:1
     
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