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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79254This 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 AmSLaTeXNumber TheoryAlgebraic Geometry11G35;14G25;14G40The canonical arithmetic height of subvarieties of an abelian variety over a finitely generated fieldtext