Infinitely $p$-divisible points on abelian varieties defined over function fields of characteristic $p>0$
Algebraic Geometry
2016-02-10 v4 Logic
Number Theory
Abstract
In this article we consider some questions raised by F. Benoist, E. Bouscaren and A. Pillay. We prove that infinitely -divisible points on abelian varieties defined over function fields of transcendence degree one over a finite field are necessarily torsion points. We also prove that when the endomorphism ring of the abelian variety is then there are no infinitely -divisible points of order a power of .
Keywords
Cite
@article{arxiv.1103.2625,
title = {Infinitely $p$-divisible points on abelian varieties defined over function fields of characteristic $p>0$},
author = {Damian Rössler},
journal= {arXiv preprint arXiv:1103.2625},
year = {2016}
}