Topologies and structures of the Cremona group
JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift)
ID
1704927
Author(s)
Blanc, Jeremy; Furter, Jean-Philippe
Author(s) at UniBasel
Blanc, Jérémy
Year
2013
Title
Topologies and structures of the Cremona group
Journal
Annals of mathematics. Series 2
Volume
178
Number
3
Pages / Article-Number
1173-1198
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.
Publisher
Princeton University Press
ISSN/ISBN
0003-486X
URL
http://dx.doi.org/10.4007/annals.2013.178.3.8
edoc-URL
http://edoc.unibas.ch/dok/A6104454
Full Text on edoc
No
Digital Object Identifier DOI
10.4007/annals.2013.178.3.8
ISI-Number
WOS:000324729300008
Document type (ISI)
Article
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