o-minimal flows on abelian varieties

2016/10/05 by Ullmo, Emmanuel, Yafaev, Andrei
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1610.01488

Abstract

Let A be an abelian variety over \bf C of dimension n and π\colon \bf Cⁿ → A be the complex uniformisation. Let X be an unbounded subset of \bf Cⁿ definable in a suitable o-minimal structure. We give a description of the Zariski closure of π(X).

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