1. CMB 2009 (vol 53 pp. 87)
|Elliptic Curves over the Perfect Closure of a Function Field|
We prove that the group of rational points of a non-isotrivial elliptic curve defined over the perfect closure of a function field in positive characteristic is finitely generated.
Keywords:elliptic curves, heights
2. CMB 2009 (vol 52 pp. 237)
|Points of Small Height on Varieties Defined over a Function Field |
We obtain a Bogomolov type of result for the affine space defined over the algebraic closure of a function field of transcendence degree $1$ over a finite field.
Keywords:heights, Bogomolov conjecture
Categories:11G50, 11G25, 11G10