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arXiv · 1501.00248

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

Kento Fujita
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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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Kento Fujita. 2015-01-01. On Berman-Gibbs stability and K-stability of $\mathbb{Q}$-Fano varieties. https://doi.org/10.1112/s0010437x1500768x

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