English

A Note on the Specialization Theorem for Families of Abelian Varieties

Number Theory 2007-05-23 v2 Algebraic Geometry

Abstract

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 KK, where KK is any field finitely generated over \Q{\Q}.

Keywords

Cite

@article{arxiv.math/0306438,
  title  = {A Note on the Specialization Theorem for Families of Abelian Varieties},
  author = {Rania Wazir},
  journal= {arXiv preprint arXiv:math/0306438},
  year   = {2007}
}

Comments

5 pages; exposition shortened, geometric lemma added