Algebraic flows on commutative complex Lie groups
Complex Variables
2018-11-27 v1 Algebraic Geometry
Abstract
We recover results by Ullmo-Yafaev and Peterzil-Starchenko on the closure of the image of an algebraic variety in a compact complex torus. Our approach uses directed closed currents and allows us to extend the result for dimension 1 flows to the setting of commutative complex Lie groups which are not necessarily compact. A version of the classical Ax-Lindemann-Weierstrass theorem for commutative complex Lie groups is also given.
Keywords
Cite
@article{arxiv.1811.09823,
title = {Algebraic flows on commutative complex Lie groups},
author = {Tien-Cuong Dinh and Duc-Viet Vu},
journal= {arXiv preprint arXiv:1811.09823},
year = {2018}
}
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31 pages