Bounds for Curves in Abelian Varieties

Simple item page
dc.creatorNoguchi, Junjiro
dc.creatorWinkelmann, Joerg
dc.date2002-07-17
dc.date2002-08-12
dc.date.accessioned2026-07-07T04:49:42Z
dc.date.available2026-07-07T04:49:42Z
dc.descriptionA uniform bound of intersection multiplicities of curves and divisors on abelian varieties is proved by algebraic geometric methods. It extends and improves a result obtained by A. Buium with a different method based on Kolchin's differential algebra. The problem is modeled after the abc-Conjecture of Masser-Oesterle for abelian varieties over the function field of a curve. As an application a finiteness theorem is proved for maps from a curve into an abelian variety omitting an ample divisor.
dc.description24 pages, LaTeX; minor corrections
dc.identifierhttps://arxiv.org/abs/math/0207139
dc.identifierhttp://arxiv.org/abs/math/0207139
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64525
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject14K12, 32H35
dc.titleBounds for Curves in Abelian Varieties
dc.typetext

Files

Collections

arXiv