Comptes Rendus
no. 7
Géométrie birationnelle
A remark on the rank of finite p-groups of birational automorphisms
Jinsong Xu1
1 Department of Mathematical Sciences, Xi’an Jiaotong-Liverpool University, No.111, Ren’ai Road, SIP, Suzhou, Jiangsu Province, China
Comptes Rendus. Mathématique, Volume 358 (2020) no. 7, pp. 827-829.

Dans cette note, nous améliorons un résultat de Prokhorov et Shramov sur le rang des p-sous-groupes finis du groupe des transformations birationnelles d’une variété rationnellement connexe. Des exemples connus montrent que les bornes obtenues sont optimales dans de nombreux cas.

In this note, we improve a result of Prokhorov and Shramov on the rank of finite p-subgroups of the group of birational transformations of a rationally connected variety. Known examples show that the bounds obtained are optimal in many cases.

Reçu le :
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DOI : 10.5802/crmath.93

Jinsong Xu 1

1 Department of Mathematical Sciences, Xi’an Jiaotong-Liverpool University, No.111, Ren’ai Road, SIP, Suzhou, Jiangsu Province, China
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Jinsong Xu. A remark on the rank of finite $p$-groups of birational automorphisms. Comptes Rendus. Mathématique, Volume 358 (2020) no. 7, pp. 827-829. doi : 10.5802/crmath.93. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.93/

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