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

8 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

General Mathematics

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10.1142/S0129167X22500070

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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",

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T1 - Equivariant K-stability under finite group action

AU - Liu, Yuchen

AU - Zhu, Ziwen

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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

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JO - International Journal of Mathematics

JF - International Journal of Mathematics

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ER -

Equivariant K-stability under finite group action

Abstract

Keywords

ASJC Scopus subject areas

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