A Note on the Specialization Theorem for Families of Abelian Varieties

Details A Note on the Specialization Theorem for Families of Abelian Varieties A Note on the Specialization Theorem for Families of Abelian Varieties

2003-06-30

arxiv.org/abs/math/0306438v2

Mathematics

Number Theory

5 pages; exposition shortened, geometric lemma added

Scientific paper

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 ${\Q}$.

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