Algebraic and o-minimal flows on complex and real tori

Advances in Mathematics（2018）

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摘要

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

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关键词

Algebraic flows,O-minimal flows,Orbit closure,O-minimal,Algebraically closed valued fields

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