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This article is cited in 5 scientific papers (total in 6 papers)
The refined structure of the Néron–Tate height
Yu. I. Manin
Abstract:
This paper contains two new results on the height of points on abelian varieties. The first of these is that the height is a special case of a construction involving the quasi-character of the group of idele classes. The usual height yields the “idele modulus”. The second result establishes the existence of a class of canonically restricted heights. Applications to diophantine problems are given.
Bibliography: 12 titles.
Received: 28.05.1970
Citation:
Yu. I. Manin, “The refined structure of the Néron–Tate height”, Math. USSR-Sb., 12:3 (1970), 325–342
Linking options:
https://www.mathnet.ru/eng/sm3515https://doi.org/10.1070/SM1970v012n03ABEH000924 https://www.mathnet.ru/eng/sm/v125/i3/p331
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Abstract page: | 390 | Russian version PDF: | 141 | English version PDF: | 31 | References: | 51 | First page: | 2 |
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