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Holomorphic Automorphisms of Danielewski Surfaces II: Structure of the Overshear Group
Bergische Universität Wuppertal, Wuppertal, Germany.
University of Bern, Bern, Switzerland.
Mid Sweden University, Faculty of Science, Technology and Media, Department of Science Education and Mathematics. (Komplexanalysgruppen)
2015 (English)In: Journal of Geometric Analysis, ISSN 1050-6926, E-ISSN 1559-002X, Vol. 25, no 3, p. 1859-1889Article in journal (Refereed) Published
Abstract [en]

We apply Nevanlinna theory for algebraic varieties to Danielewski surfaces and investigate their group of holomorphic automorphisms. Our main result states that the overshear group, which is known to be dense in the identity component of the holomorphic automorphism group, is a free product.

Place, publisher, year, edition, pages
2015. Vol. 25, no 3, p. 1859-1889
Keywords [en]
Danielewski surface, Overshear group, Nevanlinna theory, Holomorphic automorphism group
National Category
Engineering and Technology Mathematics Mathematical Analysis
Identifiers
URN: urn:nbn:se:miun:diva-23430DOI: 10.1007/s12220-014-9496-zISI: 000356515800021Scopus ID: 2-s2.0-84931567147OAI: oai:DiVA.org:miun-23430DiVA, id: diva2:763650
Note

Print ISSN 1050-6926

Available from: 2014-11-16 Created: 2014-11-16 Last updated: 2017-12-05Bibliographically approved

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Lind, Andreas

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