Geodesic
The refined structure of the N\'eron--Tate height
Sbornik. Mathematics, Tome 12 (1970) no. 3, pp. 325-342

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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. 
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     title = {The refined structure of the {N\'eron--Tate} height},
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Yu. I. Manin. The refined structure of the N\'eron--Tate height. Sbornik. Mathematics, Tome 12 (1970) no. 3, pp. 325-342. http://geodesic.mathdoc.fr/item/SM_1970_12_3_a0/