Equivariant K-stability under finite group action

Yuchen Liu, Ziwen Zhu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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 languageEnglish (US)
Article number2250007
JournalInternational Journal of Mathematics
Issue number1
StatePublished - Jan 1 2022


  • 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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