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 .
Citation
Damian Rössler. "Infinitely -Divisible Points on Abelian Varieties Defined over Function Fields of Characteristic ." Notre Dame J. Formal Logic 54 (3-4) 579 - 589, 2013. https://doi.org/10.1215/00294527-2143943
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