This article is cited in 5 papers

Néron pairing and quasicharacters

Yu. G. Zarhin


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.

UDC: 513.015.7

MSC: 14K05, 14K15

Received: 15.11.1971

 English version: Mathematics of the USSR-Izvestiya, 1972, 6:3, 491–503

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