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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1972 Volume 89(131), Number 2(10), Pages 171–181 (Mi sm3224)

This article is cited in 4 papers

Height on families of Abelian varieties

Yu. G. Zarhin, Yu. I. Manin


Abstract: Let $X$ be an Abelian variety imbedded in projective space, and let $L$ be an induced invertible sheaf on $X$.
In this paper explicit bounds are determined for the difference $\widehat h_L-h_L$, where $\widehat h_L$ is the Neron–Tate height and $h_L$ is the Weil height.
Bibliography: 5 titles.

UDC: 513.015.7

MSC: 14K05

Received: 30.05.1972


 English version:
Mathematics of the USSR-Sbornik, 1972, 18:2, 169–179

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© Steklov Math. Inst. of RAS, 2024