On K-stability of finite covers

Abstract

We show that certain Galois covers of K-semistable Fano varieties are K-stable. We use this to give some new examples of Fano manifolds admitting Kähler-Einstein metrics, including hypersurfaces, double solids and threefolds.

10 pages, published version

References in corpus (1)

• Fano varieties in Mori fibre spaces

Cited by in corpus (5)

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• On toric geometry and K-stability of Fano varieties
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• K-moduli of Fano threefolds in family 3.10