The canonical arithmetic height of subvarieties of an abelian variety over a finitely generated field

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This paper is the sequel of our paper "Arithmetic height functions over finitely generated fields" (cf. math.NT/9809016). In this paper, we define the canonical height of subvarieties of an abelian variety over a finitely generated field over Q. We also prove that the canonical height of a subvariety is zero if and only if it is a translation of an abelian subvariety by a torsion point.
20 pages, typeseted by AmSLaTeX

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Number Theory, Algebraic Geometry, 11G35;14G25;14G40

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http://salesiana.dossiersoluciones.com/handle/123456789/79254

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9910090
 http://arxiv.org/abs/math/9910090

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arXiv