Equivariant Burnside groups and representation theory

Andrew Kresch; Yuri Tschinkel

doi:10.1007/s00029-022-00797-9

Equivariant Burnside groups and representation theory

Andrew Kresch, Yuri Tschinkel

Mathematics

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

Abstract

We apply the equivariant Burnside group formalism to distinguish linear actions of finite groups, up to equivariant birationality. Our approach is based on De Concini–Procesi models of subspace arrangements.

Original language	English (US)
Article number	81
Journal	Selecta Mathematica, New Series
Volume	28
Issue number	4
DOIs	https://doi.org/10.1007/s00029-022-00797-9
State	Published - Sep 2022

Keywords

Cremona group
De Concini-Procesi models
Equivariant birational geometry

ASJC Scopus subject areas

General Mathematics
General Physics and Astronomy

Access to Document

10.1007/s00029-022-00797-9

Cite this

@article{edec82f4ad5f4c2a88aaa1b25a13f248,

title = "Equivariant Burnside groups and representation theory",

abstract = "We apply the equivariant Burnside group formalism to distinguish linear actions of finite groups, up to equivariant birationality. Our approach is based on De Concini–Procesi models of subspace arrangements.",

keywords = "Cremona group, De Concini-Procesi models, Equivariant birational geometry",

author = "Andrew Kresch and Yuri Tschinkel",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2022",

month = sep,

doi = "10.1007/s00029-022-00797-9",

language = "English (US)",

volume = "28",

journal = "Selecta Mathematica, New Series",

issn = "1022-1824",

publisher = "Birkhauser Verlag Basel",

number = "4",

}

TY - JOUR

T1 - Equivariant Burnside groups and representation theory

AU - Kresch, Andrew

AU - Tschinkel, Yuri

PY - 2022/9

Y1 - 2022/9

N2 - We apply the equivariant Burnside group formalism to distinguish linear actions of finite groups, up to equivariant birationality. Our approach is based on De Concini–Procesi models of subspace arrangements.

AB - We apply the equivariant Burnside group formalism to distinguish linear actions of finite groups, up to equivariant birationality. Our approach is based on De Concini–Procesi models of subspace arrangements.

KW - Cremona group

KW - De Concini-Procesi models

KW - Equivariant birational geometry

UR - http://www.scopus.com/inward/record.url?scp=85137761658&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85137761658&partnerID=8YFLogxK

U2 - 10.1007/s00029-022-00797-9

DO - 10.1007/s00029-022-00797-9

M3 - Article

AN - SCOPUS:85137761658

SN - 1022-1824

VL - 28

JO - Selecta Mathematica, New Series

JF - Selecta Mathematica, New Series

IS - 4

M1 - 81

ER -

Equivariant Burnside groups and representation theory

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this