o-minimal flows on abelian varieties

Let $A$ be an abelian variety over ${\bf C}$ of dimension $n$ and $π\colon {\bf C}^n \rightarrow A$ be the complex uniformisation. Let $X$ be an unbounded subset of ${\bf C}^n$ definable in a suitable o-minimal structure. We give a description of the Zariski closure of $π(X)$.

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