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arXiv:math/0306438 [math.NT]AbstractReferencesReviewsResources

A Note on the Specialization Theorem for Families of Abelian Varieties

Rania Wazir

Published 2003-06-30, updated 2004-02-09Version 2

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 ${\Q}$.

Comments: 5 pages; exposition shortened, geometric lemma added
Categories: math.NT, math.AG
Subjects: 11G40, 14K15
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