On wall-crossing for \(K\)-stability

DOI10.1016/j.aim.2022.108857OpenAlexW4315705101MaRDI QIDQ2679898

Chuyu Zhou

Publication date: 26 January 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.04925

zbMATH Keywords

Fano varietieswall crossing\(K\)-stability\(K\)-moduli

Mathematics Subject Classification ID

Surfaces and higher-dimensional varieties (14Jxx) Complex manifolds (32Qxx) Global differential geometry (53Cxx)

Related Items (1)

On K-semistable domains — more examples

Cites Work

• Unnamed Item
• ACC for log canonical thresholds
• Kähler-Einstein metrics with positive scalar curvature
• K-semistability is equivariant volume minimization
• Uniform \(K\)-stability, Duistermaat-Heckman measures and singularities of pairs
• On the K-stability of Fano varieties and anticanonical divisors
• Scalar curvature and stability of toric varieties.
• The GIT stability of polarized varieties via discrepancy
• A generalization of the Ross-Thomas slope theory
• Height and GIT weight
• On the proper moduli spaces of smoothable Kähler-Einstein Fano varieties
• On properness of K-moduli spaces and optimal degenerations of Fano varieties
• Openness of K-semistability for Fano varieties
• Optimal destabilization of K-unstable Fano varieties via stability thresholds
• Some criteria for uniform K-stability
• Finite generation for valuations computing stability thresholds and applications to K-stability
• A minimizing valuation is quasi-monomial
• Reductivity of the automorphism group of K-polystable Fano varieties
• On the existence of conic Kähler-Einstein metrics
• On positivity of the CM line bundle on K-moduli spaces
• Special test configuration and \(K\)-stability of Fano varieties
• Anti-pluricanonical systems on Fano varieties
• Uniqueness of \(\mathrm{K}\)-polystable degenerations of Fano varieties
• Thresholds, valuations, and K-stability
• A valuative criterion for uniform K-stability of \(\mathbb{Q}\)-Fano varieties
• Positivity of the CM line bundle for families of \(K\)-stable klt Fano varieties
• Boundedness of Q-Fano varieties with degrees and alpha-invariants bounded from below
• Existence of minimal models for varieties of log general type
• Introduction
• K‐Stability and Kähler‐Einstein Metrics
• Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities
• Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \boldmath2𝜋
• Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \boldmath2𝜋 and completion of the main proof

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