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The number of conjugacy classes of elements of the Cremona group of some given finite order

Blanc, Jérémy. (2007) The number of conjugacy classes of elements of the Cremona group of some given finite order. Bulletin de la Société mathématique de France, Vol. 135, fasc. 3. pp. 419-434.

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Official URL: http://edoc.unibas.ch/dok/A5843083

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Abstract

This note presents the study of the conjugacy classes of elements of some given finite order n in the Cremona group of the plane. In particular, it is shown that the number of conjugacy classes is infinite if n is even, n = 3 or n = 5, and that it is equal to 3 (respectively 9) if n = 9 (respectively if n = 15) and to 1 for all remaining odd orders. Some precise representative elements of the classes are given.
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:Société mathématique de France
ISSN:0037-9484
Note:Publication type according to Uni Basel Research Database: Journal article
Last Modified:08 Jun 2012 06:56
Deposited On:08 Jun 2012 06:47

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