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Algebraic flows on abelian varieties

Ullmo, E; Yafaev, A; (2016) Algebraic flows on abelian varieties. Journal für die reine und angewandte Mathematik 10.1515/crelle-2015-0085. (In press). Green open access

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Abstract

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

Type: Article
Title: Algebraic flows on abelian varieties
Open access status: An open access version is available from UCL Discovery
DOI: 10.1515/crelle-2015-0085
Publisher version: http://dx.doi.org/10.1515/crelle-2015-0085
Language: English
Additional information: Copyright © De Gruyter 2016
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/1519686
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