Arithmetic height functions over finitely generated fields

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dc.creatorMoriwaki, Atsushi
dc.date1998-09-04
dc.date1999-06-01
dc.date.accessioned2026-07-07T05:25:53Z
dc.date.available2026-07-07T05:25:53Z
dc.descriptionIn this paper, we propose a new height function for a variety defined over a finitely generated field over Q. For this height function, we will prove Northcott's theorem and Bogomolov's conjecture, so that we can recover the original Raynaud's theorem (Manin-Mumford's conjecture).
dc.description35 or 36 pages, re-write several parts
dc.identifierhttps://arxiv.org/abs/math/9809016
dc.identifierhttp://arxiv.org/abs/math/9809016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77350
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11G35;14G25;14G40;11G10;14K15
dc.titleArithmetic height functions over finitely generated fields
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