Conjugacy classes of affine automorphisms of Kn and linear automorphisms of Pn in the Cremona groups

Blanc, Jeremy

doi:10.1007/s00229-005-0617-7

Scientific article

English

Conjugacy classes of affine automorphisms of Kn and linear automorphisms of Pn in the Cremona groups

ContributorsBlanc, Jeremy

Published inManuscripta mathematica, vol. 119, no. 2, p. 225-241

Collection

Open Access - Licence nationale Springer

Publication date2006

Abstract

We describe the conjugacy classes of affine automorphisms in the group Aut(n,K) (respectively Bir(Kn)) of automorphisms (respectively of birational maps) of Kn. From this we deduce also the classification of conjugacy classes of automorphisms of Pn in the Cremona group Bir(Kn).

UNIGE affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

BLANC, Jeremy. Conjugacy classes of affine automorphisms of Kn and linear automorphisms of Pn in the Cremona groups. In: Manuscripta mathematica, 2006, vol. 119, n° 2, p. 225–241. doi: 10.1007/s00229-005-0617-7

Article (Published version)

Identifiers

PID : unige:12114
DOI : 10.1007/s00229-005-0617-7

Additional URL for this publicationhttp://www.springerlink.com/index/10.1007/s00229-005-0617-7

Journal ISSN0025-2611

617views

198downloads

Creation15/10/2010 10:30:00

First validation15/10/2010 10:30:00

Update14/03/2023 16:07:32

Status update14/03/2023 16:07:32

Last indexation29/10/2024 17:15:14

Archive ouverte UNIGE

Conjugacy classes of affine automorphisms of Kn and linear automorphisms of Pn in the Cremona groups

We describe the conjugacy classes of affine automorphisms in the group Aut(n,K) (respectively Bir(Kn)) of automorphisms (respectively of birational maps) of Kn. From this we deduce also the classification of conjugacy classes of automorphisms of Pn in the Cremona group Bir(Kn).

Technical informations