Bounds for Curves in Abelian Varieties

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A 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 corrections

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Algebraic Geometry, Complex Variables, 14K12, 32H35

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http://salesiana.dossiersoluciones.com/handle/123456789/64525

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0207139
 http://arxiv.org/abs/math/0207139

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arXiv