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Towards the Full Mordell-Lang Conjecture for Drinfeld Modules

  Published:2009-12-04
 Printed: Mar 2010
  • Dragos Ghioca
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Abstract

Let $\phi$ be a Drinfeld module of generic characteristic, and let X be a sufficiently generic affine subvariety of $\mathbb{G_a^g}$. We show that the intersection of X with a finite rank $\phi$-submodule of $\mathbb{G_a^g}$ is finite.
Keywords: Drinfeld module, Mordell-Lang conjecture Drinfeld module, Mordell-Lang conjecture
MSC Classifications: 11G09, 11G10 show english descriptions Drinfel'd modules; higher-dimensional motives, etc. [See also 14L05]
Abelian varieties of dimension $> 1$ [See also 14Kxx]
11G09 - Drinfel'd modules; higher-dimensional motives, etc. [See also 14L05]
11G10 - Abelian varieties of dimension $> 1$ [See also 14Kxx]
 

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