Universität zu Köln

Dinh, Tien-Cuong and Vu, Duc-Viet (2020). Algebraic flows on commutative complex Lie groups. Comment. Math. Helv., 95 (3). S. 421 - 461. ZURICH: EUROPEAN MATHEMATICAL SOC. ISSN 1420-8946

Full text not available from this repository.

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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Dinh, Tien-Cuong UNSPECIFIED UNSPECIFIED UNSPECIFIED Vu, Duc-Viet UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-350019
DOI:	10.4171/CMH/492
Journal or Publication Title:	Comment. Math. Helv.
Volume:	95
Number:	3
Page Range:	S. 421 - 461
Date:	2020
Publisher:	EUROPEAN MATHEMATICAL SOC
Place of Publication:	ZURICH
ISSN:	1420-8946
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language O-MINIMAL FLOWS Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/35001