Equivariant K-stability under finite group action

Yuchen Liu; Ziwen Zhu

doi:10.1142/S0129167X22500070

Equivariant K-stability under finite group action

Yuchen Liu, Ziwen Zhu^*

^*Corresponding author for this work

Mathematics

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

3 Scopus citations

Abstract

We show that G-equivariant K-semistability (respectively, G-equivariant K-polystability) implies K-semistability (respectively, K-polystability) for log Fano pairs with klt singularities when G is a finite group.

Original language	English (US)
Article number	2250007
Journal	International Journal of Mathematics
Volume	33
Issue number	1
DOIs	https://doi.org/10.1142/S0129167X22500070
State	Published - Jan 1 2022

Keywords

Equivariant K-stability
Finite group actions on log Fano pairs
K-moduli of Fano varieties

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1142/S0129167X22500070

Cite this

@article{0a6c027054f3478ebafa0d701fef3677,

title = "Equivariant K-stability under finite group action",

abstract = "We show that G-equivariant K-semistability (respectively, G-equivariant K-polystability) implies K-semistability (respectively, K-polystability) for log Fano pairs with klt singularities when G is a finite group. ",

keywords = "Equivariant K-stability, Finite group actions on log Fano pairs, K-moduli of Fano varieties",

author = "Yuchen Liu and Ziwen Zhu",

note = "Publisher Copyright: {\textcopyright} 2022 World Scientific Publishing Company.",

year = "2022",

month = jan,

day = "1",

doi = "10.1142/S0129167X22500070",

language = "English (US)",

volume = "33",

journal = "International Journal of Mathematics",

issn = "0129-167X",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "1",

}

TY - JOUR

T1 - Equivariant K-stability under finite group action

AU - Liu, Yuchen

AU - Zhu, Ziwen

PY - 2022/1/1

Y1 - 2022/1/1

N2 - We show that G-equivariant K-semistability (respectively, G-equivariant K-polystability) implies K-semistability (respectively, K-polystability) for log Fano pairs with klt singularities when G is a finite group.

AB - We show that G-equivariant K-semistability (respectively, G-equivariant K-polystability) implies K-semistability (respectively, K-polystability) for log Fano pairs with klt singularities when G is a finite group.

KW - Equivariant K-stability

KW - Finite group actions on log Fano pairs

KW - K-moduli of Fano varieties

UR - http://www.scopus.com/inward/record.url?scp=85121902572&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85121902572&partnerID=8YFLogxK

U2 - 10.1142/S0129167X22500070

DO - 10.1142/S0129167X22500070

M3 - Article

AN - SCOPUS:85121902572

VL - 33

JO - International Journal of Mathematics

JF - International Journal of Mathematics

SN - 0129-167X

IS - 1

M1 - 2250007

ER -

Equivariant K-stability under finite group action

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this