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Sbornik: Mathematics, 2010, Volume 201, Issue 12, Pages 1801–1810
DOI: https://doi.org/10.1070/SM2010v201n12ABEH004132 (Mi sm7697) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Endomorphisms of Abelian varieties, cyclotomic extensions and Lie algebras

Yu. G. Zarhinab

a Institute of Mathematical Problems of Biology, Russian Academy of Sciences
b Pennsylvania State University
English version PDF (306 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM2010v201n12ABEH004132
Abstract: We prove an analogue of the Tate conjecture on homomorphisms of Abelian varieties over infinite cyclotomic extensions of finitely generated fields of characteristic zero.
Bibliography: 19 titles.
Keywords: Abelian varieties, Tate modules, Tate conjecture.
Received: 21.02.2010
Russian version:
Matematicheskii Sbornik, 2010, Volume 201, Number 12, Pages 93–102
DOI: https://doi.org/10.4213/sm7697
Bibliographic databases:
Document Type: Article
UDC: 512.742.7
MSC: 14J50, 14K99
Language: English
Original paper language: Russian
Citation: Yu. G. Zarhin, “Endomorphisms of Abelian varieties, cyclotomic extensions and Lie algebras”, Sb. Math., 201:12 (2010), 1801–1810
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v201/i12/p93
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:492
    Russian version PDF:200
    English version PDF:13
    References:53
    First page:10
     
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