Ju l 2 00 2 Bounds for Curves in Abelian Varieties ∗

Abstract

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-Oesterlé for abelian varieties over the… (More)

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