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.

Full text not available from this repository.

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

Downloads: Statistics Overview


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
Publisher:Princeton University Press
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

Repository Staff Only: item control page