On Berman-Gibbs stability and K-stability of $\mathbb{Q}$-Fano varieties

Abstract

The notion of Berman-Gibbs stability was originally introduced by Robert Berman for $\mathbb{Q}$-Fano varieties $X$. We show that the pair $(X,-K_X)$ is K-stable (resp. K-semistable) provided that $X$ is Berman-Gibbs stable (resp. semistable).

13 pages

Cited by in corpus (1)

• K-stability of smooth del Pezzo surfaces