Height on families of abelian varieties

J. U.G. Zarhin; J. U.I. Manin

doi:10.1070/SM1972v018n02ABEH001749

Height on families of abelian varieties

J. U.G. Zarhin, J. U.I. Manin

Mathematics

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4 Scopus citations

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 ĥ_L - ĥ_L, where ĥ_Lis the Neron-Tate height and ĥ_L is the Weil height.Bibliography: 5 titles.

Original language	English (US)
Pages (from-to)	169-179
Number of pages	11
Journal	Mathematics of the USSR - Sbornik
Volume	18
Issue number	2
DOIs	https://doi.org/10.1070/SM1972v018n02ABEH001749
State	Published - Feb 28 1972

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1070/SM1972v018n02ABEH001749

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title = "Height on families of abelian varieties",

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 ĥL - ĥL, where ĥLis the Neron-Tate height and ĥL is the Weil height.Bibliography: 5 titles.",

author = "Zarhin, {J. U.G.} and Manin, {J. U.I.}",

year = "1972",

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T1 - Height on families of abelian varieties

AU - Zarhin, J. U.G.

AU - Manin, J. U.I.

PY - 1972/2/28

Y1 - 1972/2/28

N2 - 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 ĥL - ĥL, where ĥLis the Neron-Tate height and ĥL is the Weil height.Bibliography: 5 titles.

AB - 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 ĥL - ĥL, where ĥLis the Neron-Tate height and ĥL is the Weil height.Bibliography: 5 titles.

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DO - 10.1070/SM1972v018n02ABEH001749

M3 - Article

AN - SCOPUS:84931943641

SN - 0025-5734

VL - 18

SP - 169

EP - 179

JO - Mathematics of the USSR - Sbornik

JF - Mathematics of the USSR - Sbornik

IS - 2

ER -

Height on families of abelian varieties

Abstract

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