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Topologies and structures of the Cremona group

Blanc, Jérémy and Furter, Jean-Philippe. (2013) Topologies and structures of the Cremona group. Annals of mathematics. Series 2, Vol. 178, H. 3. pp. 1173-1198.

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Official URL: http://edoc.unibas.ch/dok/A6104454

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Abstract

We study the algebraic structure of the n-dimensional Cremona group and show that it is not an algebraic group of infinite dimension (indgroup) if n<1. We describe the obstruction to this, which is of a topological nature. By contrast, we show the existence of a Euclidean topology on the Cremona group which extends that of its classical subgroups and makes it a topological group.
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:Princeton University Press
ISSN:0003-486X
Note:Publication type according to Uni Basel Research Database: Journal article
Identification Number:
Last Modified:13 Sep 2013 07:59
Deposited On:13 Sep 2013 07:51

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