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 > Algebraische Geometrie (Blanc) |
|---|---|
| UniBasel Contributors: | Blanc, Jérémy |
| Item Type: | Article, refereed |
| Article Subtype: | Research Article |
| 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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