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Search: All articles in the CMB digital archive with keyword heights

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1. CMB 2009 (vol 53 pp. 87)

Ghioca, Dragos
 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, heightsCategories:11G50, 11G05

2. CMB 2009 (vol 52 pp. 237)

Ghioca, Dragos
 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 conjectureCategories:11G50, 11G25, 11G10
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