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Holomorphic automorphisms of Danielewski surfaces
Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences, Engineering and Mathematics.
2009 (English)Doctoral thesis, monograph (Other academic)
Abstract [en]

In this thesis we define the notion of an overshear on a Danielewskisurface. Next we show that the group generated by the overshears is dense in the component of the identity of the automorphism group. Moreover, we show that the overshear group has a structure of an amalgamated product, and as consequence of this the overshear group is a proper subgroup of the automorphism group. Finally we classify the R^n-actions, and therefore the one parameter subgroups, of the overshear group. We also show that any Lie subgroup of an amalgamated product can be conjugated to one of the factors of the amalgamated product.

Place, publisher, year, edition, pages
Sundsvall: Kopieringen Mittuniversitetet Sundsvall , 2009. , p. 86
Series
Mid Sweden University doctoral thesis, ISSN 1652-893X ; 76
Keyword [en]
Danielewski surfaces, holomorphic, automorphisms, Lie groups
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-10360ISBN: 978-91-86073-56-5 (print)OAI: oai:DiVA.org:miun-10360DiVA, id: diva2:277555
Public defence
2009-12-21, O111, Universitetsbacken 1, Sundsvall, 10:15 (English)
Opponent
Supervisors
Available from: 2009-11-19 Created: 2009-11-19 Last updated: 2009-11-19Bibliographically approved

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Lind, Andreas

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf