2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64525A 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.24 pages, LaTeX; minor correctionsAlgebraic GeometryComplex Variables14K12, 32H35text