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Affine surfaces with a huge group of automorphisms

Blanc, Jérémy and Dubouloz, Adrien. (2015) Affine surfaces with a huge group of automorphisms. International mathematics research notices, 2015, no. 2. pp. 422-459.

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Official URL: http://edoc.unibas.ch/dok/A6174467

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Abstract

We describe a family of rational affine surfaces S with huge groups of automorphisms in the following sense: the normal subgroup Aut(S)alg of Aut(S) generated by all algebraic subgroups of Aut(S) is not generated by any countable family of such subgroups, and the quotient Aut(S)/Aut(S)alg cointains a free group over an uncountable set of generators.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Algebra (Blanc)
UniBasel Contributors:Blanc, Jérémy
Item Type:Article, refereed
Article Subtype:Research Article
Bibsysno:Link to catalogue
Publisher:Hindawi Publ. Corp.
ISSN:1073-7928
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:08 May 2015 08:45
Deposited On:08 May 2015 08:45

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