Leuenberger, Matthias (2016). Complete algebraic vector fields on Danielewski surfaces. Annales de l'Institut Fourier, 66(2), pp. 433-454. Association des Annales de l'Institut Fourier 10.5802/aif.3015
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We give the classification of all complete algebraic vector fields on Danielewski surfaces (smooth surfaces given by xy=p(z)). We use the fact that for each such vector field there exists a certain fibration that is preserved under its flow. In order to get the explicit list of vector fields a classification of regular function with general fiber ℂ or ℂ * is required. In this text we present results about such fibrations on Gizatullin surfaces and we give a precise description of these fibrations for Danielewski surfaces.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Leuenberger, Matthias |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
1777-5310 |
Publisher: |
Association des Annales de l'Institut Fourier |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
12 Jul 2017 10:49 |
Last Modified: |
05 Dec 2022 15:04 |
Publisher DOI: |
10.5802/aif.3015 |
ArXiv ID: |
1411.6493v2 |
BORIS DOI: |
10.7892/boris.98618 |
URI: |
https://boris.unibe.ch/id/eprint/98618 |
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