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

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