On Cremona transformations of prime order

Beauville, Arnaud; Blanc, Jeremy

doi:10.1016/j.crma.2004.06.015

Scientific article

English

On Cremona transformations of prime order

ContributorsBeauville, Arnaud; Blanc, Jeremy

Published inComptes rendus. Mathématique, vol. 339, no. 4, p. 257-259

Publication date2004

Abstract

We prove that an automorphism of order 5 of the Del Pezzo surface S5 of degree 5 is conjugate through a birational map S 99K P2 to a linear automorphism of P2. This completes the classification of conjugacy classes of elements of prime order in the Cremona group.

Classification

arxiv : math.AG

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

BEAUVILLE, Arnaud, BLANC, Jeremy. On Cremona transformations of prime order. In: Comptes rendus. Mathématique, 2004, vol. 339, n° 4, p. 257–259. doi: 10.1016/j.crma.2004.06.015

Article

Identifiers

PID : unige:12269
DOI : 10.1016/j.crma.2004.06.015
arXiv : math/0402037

Journal ISSN1631-073X

689views

323downloads

Creation21/10/2010 14:21:00

First validation21/10/2010 14:21:00

Update time14/03/2023 16:08:08

Status update14/03/2023 16:08:08

Last indexation29/10/2024 17:19:09

Archive ouverte UNIGE

On Cremona transformations of prime order

We prove that an automorphism of order 5 of the Del Pezzo surface S5 of degree 5 is conjugate through a birational map S 99K P2 to a linear automorphism of P2. This completes the classification of conjugacy classes of elements of prime order in the Cremona group.

Technical informations