Neron pairing and quasicharacters

Ju G. Zarhin

doi:10.1070/IM1972v006n03ABEH001885

Neron pairing and quasicharacters

Ju G. Zarhin

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this paper we answer a question posed by Ju. I. Manin: For which quasicharacters does there exist a generalized Neron 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 Neron pairings and the biextensions of Mumford.

Original language	English (US)
Pages (from-to)	491-503
Number of pages	13
Journal	Mathematics of the USSR - Izvestija
Volume	6
Issue number	3
DOIs	https://doi.org/10.1070/IM1972v006n03ABEH001885
State	Published - Jun 30 1972

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1070/IM1972v006n03ABEH001885

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title = "Neron pairing and quasicharacters",

abstract = "In this paper we answer a question posed by Ju. I. Manin: For which quasicharacters does there exist a generalized Neron 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 Neron pairings and the biextensions of Mumford.",

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AB - In this paper we answer a question posed by Ju. I. Manin: For which quasicharacters does there exist a generalized Neron 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 Neron pairings and the biextensions of Mumford.

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ER -

Neron pairing and quasicharacters

Abstract

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