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arXiv · 1610.01488

o-minimal flows on abelian varieties

Emmanuel Ullmo·Andrei Yafaev
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Abstract

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 $\pi(X)$.

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Emmanuel Ullmo, Andrei Yafaev. 2016-10-05. o-minimal flows on abelian varieties. https://arxiv.org/abs/1610.01488

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