Yu. G. Zarhin, “Néron pairing and quasicharacters”, Math. USSR-Izv., 6:3 (1972), 491

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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) Russian version article

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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

Bibliographic databases:

UDC: 513.015.7

MSC: 14K05, 14K15

Language: English

Original paper language: Russian

Citation: Yu. G. Zarhin, “Néron pairing and quasicharacters”, 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 Math. USSR-Izv.

\yr 1972

\vol 6

\issue 3

\pages 491--503

\mathnet{http://mi.mathnet.ru/eng/im2308}

\crossref{https://doi.org/10.1070/IM1972v006n03ABEH001885}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=301013}

\zmath{https://zbmath.org/?q=an:0244.14009}

Linking options:

https://www.mathnet.ru/eng/im2308

https://doi.org/10.1070/IM1972v006n03ABEH001885

https://www.mathnet.ru/eng/im/v36/i3/p497

This publication is cited in the following 5 articles:

Cédric Pépin, “Néron’s pairing and relative algebraic equivalence”, Algebra Number Theory, 6:7 (2012), 1315
Cristian D. Gonzalez-Aviles, “Finite modules over non-semisimple group rings”, Isr J Math, 144:1 (2004), 61
Daniel Bertrand, “Minimal heights and polarizations on group varieties”, Duke Math. J., 80:1 (1995)
Yu G. Zarhin, Séminaire de Théorie des Nombres, Paris 1987–88, 1990, 317
Barry Mazur, John Tate, Arithmetic and Geometry, 1983, 195

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Известия Академии наук СССР. Серия математическая

Statistics & downloads:
Abstract page:	420
Russian version PDF:	143
English version PDF:	23
References:	97
First page:	1

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