Towards the full Mordell-Lang conjecture for Drinfeld modules

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Let $ϕ$ 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 $ϕ$-submodule of $\mathbb{G}_a^g$ is finite.

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