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Preprint Number 1154

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1154. Ya'acov Peterzil, Sergei Starchenko
Algebraic and o-minimal flows on complex and real tori

Submission date: 31 January 2017


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

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Full text arXiv 1701.09080: pdf, ps.

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