Isogeny orbits in a family of abelian varieties
Number Theory
2014-03-18 v1
Abstract
We prove that if a curve of a non-isotrivial family of abelian varieties over a curve contains infinitely many isogeny orbits of a finitely generated subgroup of a simple abelian variety then it is special.
Keywords
Cite
@article{arxiv.1403.3976,
title = {Isogeny orbits in a family of abelian varieties},
author = {Qian Lin and Ming-Xi Wang},
journal= {arXiv preprint arXiv:1403.3976},
year = {2014}
}