On Berman-Gibbs stability and K-stability of mathbb{Q}-Fano varieties
classification
🧮 math.AG
math.DG
keywords
berman-gibbsfanomathbbrespstabilityvarietiesbermanintroduced
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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).
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