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Mathematics of the USSR-Izvestiya, 1983, Volume 20, Issue 2, Pages 203–234
DOI: https://doi.org/10.1070/IM1983v020n02ABEH001348 (Mi im1614) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The Brauer group of an Abelian variety over a finite field

Yu. G. Zarhin
English version PDF (1342 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/IM1983v020n02ABEH001348
Abstract: The author presents a formula for the order of a component of the Brauer group of an Abelian variety over a finite field, where the order of the component in question is relatively prime to the characteristic of the field. For principally polarized Abelian surfaces this formula becomes the well-known Artin–Tate formula. A natural nondegenerate pairing between the components of the Brauer groups of an Abelian variety and its Picard variety is constructed.
Bibliography: 27 titles.
Received: 07.07.1981
Bibliographic databases:
UDC: 513.6
MSC: Primary 14G15; Secondary 14K15
Language: English
Original paper language: Russian
Citation: Yu. G. Zarhin, “The Brauer group of an Abelian variety over a finite field”, Math. USSR-Izv., 20:2 (1983), 203–234
Citation in format AMSBIB
\Bibitem{Zar82}
\by Yu.~G.~Zarhin
\paper The Brauer group of an Abelian variety over a~finite field
\jour Math. USSR-Izv.
\yr 1983
\vol 20
\issue 2
\pages 203--234
\mathnet{http://mi.mathnet.ru//eng/im1614}
\crossref{https://doi.org/10.1070/IM1983v020n02ABEH001348}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=651646}
\zmath{https://zbmath.org/?q=an:0514.14016|0505.14034}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:368
    Russian version PDF:130
    English version PDF:18
    References:57
    First page:1
     
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