Algebraic flows on commutative complex Lie groups
Tien-Cuong DinhNational University of Singapore, Singapore
Duc-Viet VuUniversität Köln, Germany and Thang Long Institute of Math. and Appl. Sci., Hanoi, Vietnam
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.
Cite this article
Tien-Cuong Dinh, Duc-Viet Vu, Algebraic flows on commutative complex Lie groups. Comment. Math. Helv. 95 (2020), no. 3, pp. 421–460DOI 10.4171/CMH/492