K-stability of Fano varieties: an algebro-geometric approach

Abstract

We give a survey of the recent progress on the study of K-stability of Fano varieties by an algebro-geometric approach.

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Cited by in corpus (10)

• On toric geometry and K-stability of Fano varieties
• Projective flatness over klt spaces and uniformisation of varieties with nef anti-canonical divisor
• On K-stability of some del Pezzo surfaces of Fano index 2
• On deformation spaces of toric singularities and on singularities of K-moduli of Fano varieties
• Reductive quotients of klt singularities
• K-moduli of Fano 3-folds can have embedded points
• Seshadri constants and K-stability of Fano manifolds
• K-stability and birational models of moduli of quartic K3 surfaces
• Approximating delta invariants in the sense of complements of plt type
• Cohomology of moduli space of cubic fourfolds I