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Mathematics of the USSR-Izvestiya, 1972, Volume 6, Issue 3, Pages 491–503
DOI: https://doi.org/10.1070/IM1972v006n03ABEH001885 (Mi im2308) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Néron pairing and quasicharacters

Yu. G. Zarhin
English version PDF (575 kB) Citations (5)
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DOI: https://doi.org/10.1070/IM1972v006n03ABEH001885
Abstract: In this paper we answer a question posed by Yu. I. Manin: for which quasicharacters does there exist a generalized Néron pairing? It turns out that the quasicharacter must trivialize some explicitly described group of roots of unity. In addition, we establish in this paper a connection between generalized Néron pairings and the biextensions of Mumford.
Received: 15.11.1971
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1972, Volume 36, Issue 3, Pages 497–509
Bibliographic databases:
UDC: 513.015.7
MSC: 14K05, 14K15
Language: English
Original paper language: Russian
Citation: Yu. G. Zarhin, “Néron pairing and quasicharacters”, Izv. Akad. Nauk SSSR Ser. Mat., 36:3 (1972), 497–509; Math. USSR-Izv., 6:3 (1972), 491–503
Citation in format AMSBIB
\Bibitem{Zar72}
\by Yu.~G.~Zarhin
\paper N\'eron pairing and quasicharacters
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1972
\vol 36
\issue 3
\pages 497--509
\mathnet{http://mi.mathnet.ru/im2308}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=301013}
\zmath{https://zbmath.org/?q=an:0244.14009}
\transl
\jour Math. USSR-Izv.
\yr 1972
\vol 6
\issue 3
\pages 491--503
\crossref{https://doi.org/10.1070/IM1972v006n03ABEH001885}
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  • https://doi.org/10.1070/IM1972v006n03ABEH001885
  • https://www.mathnet.ru/eng/im/v36/i3/p497
    • This publication is cited in the following 5 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:358
    Russian version PDF:133
    English version PDF:10
    References:77
    First page:1
     
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