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On Berman-Gibbs stability and K-stability of $\mathbb{Q}$-Fano varieties
Published 1 Jan 2015 in math.AG and math.DG | (1501.00248v1)
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).
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