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# Points of Small Height on Varieties Defined over a Function Field

Published:2009-06-01
Printed: Jun 2009
• Dragos Ghioca
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## Abstract

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
 MSC Classifications: 11G50 - Heights [See also 14G40, 37P30] 11G25 - Varieties over finite and local fields [See also 14G15, 14G20] 11G10 - Abelian varieties of dimension $> 1$ [See also 14Kxx]