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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DOI:10.4171/CMH/492
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: |
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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: |
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Refereed: | Yes | ||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/35001 |
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