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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
 MSC Classifications: 11G09 - Drinfel'd modules; higher-dimensional motives, etc. [See also 14L05] 11G10 - Abelian varieties of dimension $> 1$ [See also 14Kxx]

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