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

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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.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Dinh, Tien-CuongUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Vu, Duc-VietUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
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:
KeywordsLanguage
O-MINIMAL FLOWSMultiple languages
MathematicsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/35001

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