Dans cette note, nous améliorons un résultat de Prokhorov et Shramov sur le rang des -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 -subgroups of the group of birational transformations of a rationally connected variety. Known examples show that the bounds obtained are optimal in many cases.
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@article{CRMATH_2020__358_7_827_0,
author = {Xu, Jinsong},
title = {A remark on the rank of finite $p$-groups of birational automorphisms},
journal = {Comptes Rendus. Math\'ematique},
pages = {827--829},
publisher = {Acad\'emie des sciences, Paris},
volume = {358},
number = {7},
year = {2020},
doi = {10.5802/crmath.93},
language = {en},
url = {http://www.numdam.org/articles/10.5802/crmath.93/}
}
TY - JOUR AU - Xu, Jinsong TI - A remark on the rank of finite $p$-groups of birational automorphisms JO - Comptes Rendus. Mathématique PY - 2020 SP - 827 EP - 829 VL - 358 IS - 7 PB - Académie des sciences, Paris UR - http://www.numdam.org/articles/10.5802/crmath.93/ DO - 10.5802/crmath.93 LA - en ID - CRMATH_2020__358_7_827_0 ER -
%0 Journal Article %A Xu, Jinsong %T A remark on the rank of finite $p$-groups of birational automorphisms %J Comptes Rendus. Mathématique %D 2020 %P 827-829 %V 358 %N 7 %I Académie des sciences, Paris %U http://www.numdam.org/articles/10.5802/crmath.93/ %R 10.5802/crmath.93 %G en %F CRMATH_2020__358_7_827_0
Xu, Jinsong. A remark on the rank of finite $p$-groups of birational automorphisms. Comptes Rendus. Mathématique, Tome 358 (2020) no. 7, pp. 827-829. doi : 10.5802/crmath.93. http://www.numdam.org/articles/10.5802/crmath.93/
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