TY - JOUR
T1 - NON-COMMUTATIVE RESOLUTIONS OF LINEARLY REDUCTIVE QUOTIENT SINGULARITIES
AU - Liedtke, Christian
AU - Yasuda, Takehiko
N1 - Publisher Copyright:
© The Author(s) 2024. Published by Oxford University Press.
PY - 2024/9/1
Y1 - 2024/9/1
N2 - We prove the existence of non-commutative crepant resolutions (in the sense of Van den Bergh) of quotient singularities by finite and linearly reductive group schemes in positive characteristic. In dimension 2, we relate these to resolutions of singularities provided by G-Hilbert schemes and F-blowups. As an application, we establish and recover results concerning resolutions for toric singularities, as well as canonical, log terminal and F-regular singularities in dimension 2.
AB - We prove the existence of non-commutative crepant resolutions (in the sense of Van den Bergh) of quotient singularities by finite and linearly reductive group schemes in positive characteristic. In dimension 2, we relate these to resolutions of singularities provided by G-Hilbert schemes and F-blowups. As an application, we establish and recover results concerning resolutions for toric singularities, as well as canonical, log terminal and F-regular singularities in dimension 2.
UR - http://www.scopus.com/inward/record.url?scp=85201788505&partnerID=8YFLogxK
U2 - 10.1093/qmath/haae033
DO - 10.1093/qmath/haae033
M3 - Article
AN - SCOPUS:85201788505
SN - 0033-5606
VL - 75
SP - 969
EP - 985
JO - Quarterly Journal of Mathematics
JF - Quarterly Journal of Mathematics
IS - 3
ER -