Equivariant K-stability under finite group action

Abstract

We show that G-equivariant K-semistability (resp. G-equivariant K-polystability) implies K-semistability (resp. K-polystability) for log Fano pairs when G is a finite group.

17 pages. Comments are very welcome

References in corpus (15)

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Cited by in corpus (4)

• On K-stability of some del Pezzo surfaces of Fano index 2
• K-stability of cubic fourfolds
• A Note on Equivariant K-stability
• K-stability and birational models of moduli of quartic K3 surfaces