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Holomorphic automorphisms of Danielewski surfaces I: Density of the group of overshears
Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences, Engineering and Mathematics. (Komplex analys i flera variabler)
Univ Bern, Inst Math, CH-3012 Bern, Switzerland.
2011 (English)In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 139, no 11, 3915-3927 p.Article in journal (Refereed) Published
Abstract [en]

We define the notion of shears and overshears on a Danielewski surface. We show that the group generated by shears and overshears is dense (in the compact open topology) in the path-connected component of the identity of the holomorphic automorphism group.

Place, publisher, year, edition, pages
2011. Vol. 139, no 11, 3915-3927 p.
Keyword [en]
Danielewski surfaces; Holomorphic automorphisms; Overshears
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:miun:diva-15090DOI: 10.1090/S0002-9939-2011-10855-4ISI: 000295893700016Scopus ID: 2-s2.0-79960787730OAI: oai:DiVA.org:miun-15090DiVA: diva2:462872
Note
The research of the first author was partially supported by Schweizerische Nationalfonds grant No 200020-124668/1. The research of the second author was supported by Forskarskolan for Matematik och Berakningsvetenskap FMB.Available from: 2011-12-12 Created: 2011-12-08 Last updated: 2017-12-08Bibliographically approved

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