Algebraic flows on abelian varieties release_fgoawff7ifb6dhxz6zfmfl5ng4

by Emmanuel Ullmo, Andrei Yafaev

Published in Journal für die Reine und Angewandte Mathematik by Walter de Gruyter GmbH.

2018   Volume 2018, Issue 741, p47-66

Abstract

<jats:title>Abstract</jats:title> Let <jats:italic>A</jats:italic> be an abelian variety. The abelian Ax–Lindemann theorem shows that the Zariski closure of an algebraic flow in <jats:italic>A</jats:italic> is a translate of an abelian subvariety of <jats:italic>A</jats:italic>. The paper discusses some conjectures on the usual topological closure of an algebraic flow in <jats:italic>A</jats:italic>. The main result is a proof of these conjectures when the algebraic flow is given by an algebraic curve.
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