Algebraic and o-minimal flows on complex and real tori

Ya'acov Peterzil; Sergei Starchenko

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arXiv · 1701.09080

Algebraic and o-minimal flows on complex and real tori

Ya'acov Peterzil·Sergei Starchenko

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Abstract

We consider the covering map $\pi:\mathbb{C}^n\to \mathbb{T}$ of a compact complex torus. Given an algebraic variety $X\subseteq \mathbb{C}^n$ we describe the topological closure of $\pi(X)$ in $\mathbb T$. We obtain a similar description when $\mathbb{T}$ is a real torus and $X\subseteq \mathbb{R}^n$ is a set definable in an o-minimal structure over the reals.

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BibTeX RIS

Ya'acov Peterzil, Sergei Starchenko. 2017-01-31. Algebraic and o-minimal flows on complex and real tori. https://arxiv.org/abs/1701.09080

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