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

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dc.creatorMoriwaki, Atsushi
dc.date1999-10-19
dc.date.accessioned2026-07-07T05:31:12Z
dc.date.available2026-07-07T05:31:12Z
dc.descriptionThis 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.
dc.description20 pages, typeseted by AmSLaTeX
dc.identifierhttps://arxiv.org/abs/math/9910090
dc.identifierhttp://arxiv.org/abs/math/9910090
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79254
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11G35;14G25;14G40
dc.titleThe canonical arithmetic height of subvarieties of an abelian variety over a finitely generated field
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