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On Berman-Gibbs stability and K-stability of ℚ-Fano varieties

Compositio Mathematica (2016) 152(2) 288-298
DOI: 10.1112/S0010437X1500768X
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Abstract

The notion of Berman-Gibbs stability was originally introduced by Berman for ℚ-Fano varieties X. We show that the pair (X,-KX) is K-stable (respectively K-semistable) provided that X is Berman-Gibbs stable (respectively semistable).

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Fujita, K. (2016). On Berman-Gibbs stability and K-stability of ℚ-Fano varieties. Compositio Mathematica, 152(2), 288–298. https://doi.org/10.1112/S0010437X1500768X

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