A remark on the rank of finite p-groups of birational automorphisms

Jinsong Xu

doi:10.5802/crmath.93

A remark on the rank of finite p-groups of birational automorphisms

Jinsong Xu^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	827-829
Number of pages	3
Journal	Comptes Rendus Mathematique
Volume	358
Issue number	7
DOIs	https://doi.org/10.5802/crmath.93
Publication status	Published - 2020

Access to Document

10.5802/crmath.93

Cite this

@article{5176881db7474797a7410a21a6df63c7,

title = "A remark on the rank of finite p-groups of birational automorphisms",

abstract = "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.",

author = "Jinsong Xu",

note = "Publisher Copyright: {\textcopyright} Acad{\'e}mie des sciences, Paris and the authors, 2020. Some rights reserved.",

year = "2020",

doi = "10.5802/crmath.93",

language = "English",

volume = "358",

pages = "827--829",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

number = "7",

}

TY - JOUR

T1 - A remark on the rank of finite p-groups of birational automorphisms

AU - Xu, Jinsong

N1 - Publisher Copyright: © Académie des sciences, Paris and the authors, 2020. Some rights reserved.

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85096956645

U2 - 10.5802/crmath.93

DO - 10.5802/crmath.93

M3 - Article

AN - SCOPUS:85096956645

SN - 1631-073X

VL - 358

SP - 827

EP - 829

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 7

ER -

A remark on the rank of finite p-groups of birational automorphisms

Abstract

Access to Document

Other files and links

Cite this