A Note on the Specialization Theorem for Families of Abelian Varieties

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In this note, we apply Moriwaki's arithmetic height functions to obtain an analogue of Silverman's Specialization Theorem for families of Abelian varieties over $K$, where $K$ is any field finitely generated over ${\Q}$.
5 pages; exposition shortened, geometric lemma added

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Number Theory, Algebraic Geometry, 11G40, 14K15

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http://salesiana.dossiersoluciones.com/handle/123456789/67934

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0306438
 http://arxiv.org/abs/math/0306438

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arXiv