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arXiv · 1811.09823

Algebraic flows on commutative complex Lie groups

Tien-Cuong Dinh·Duc-Viet Vu
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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.

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Tien-Cuong Dinh, Duc-Viet Vu. 2018-11-24. Algebraic flows on commutative complex Lie groups. https://arxiv.org/abs/1811.09823

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