  Let $A$ be an abelian variety over ${\bf C}$ of dimension $n$ and $\pi\colon
{\bf C}^n \rightarrow A$ 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 $\pi(X)$.
