Twisted Kähler-Einstein metrics in big classes
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Publication:6648861
DOI10.1002/cpa.22206MaRDI QIDQ6648861
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Publication date: 5 December 2024
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Cites Work
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- Monotonicity of nonpluripolar products and complex Monge-Ampère equations with prescribed singularity
- K-semistability is equivariant volume minimization
- Uniform \(K\)-stability, Duistermaat-Heckman measures and singularities of pairs
- K-stability for Kähler manifolds
- On the K-stability of Fano varieties and anticanonical divisors
- Scalar curvature and stability of toric varieties.
- Kähler-Ricci flow, Kähler-Einstein metric, and K-stability
- Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
- Continuity of delta invariants and twisted Kähler-Einstein metrics
- \(G\)-uniform stability and Kähler-Einstein metrics on Fano varieties
- The closures of test configurations and algebraic singularity types
- The uniform version of Yau-Tian-Donaldson conjecture for singular Fano varieties
- Kähler-Einstein metrics with prescribed singularities on Fano manifolds
- The metric geometry of singularity types
- Measure preserving holomorphic vector fields, invariant anti-canonical divisors and Gibbs stability
- Geodesic distance and Monge-Ampére measures on contact sets
- Finite generation for valuations computing stability thresholds and applications to K-stability
- Geodesic stability, the space of rays and uniform convexity in Mabuchi geometry
- On the existence of conic Kähler-Einstein metrics
- On positivity of the CM line bundle on K-moduli spaces
- Log-concavity of volume and complex Monge-Ampère equations with prescribed singularity
- Thresholds, valuations, and K-stability
- A Brunn-Minkowski type inequality for Fano manifolds and some uniqueness theorems in Kähler geometry
- \(L^1\) metric geometry of big cohomology classes
- Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties
- A valuative criterion for uniform K-stability of \(\mathbb{Q}\)-Fano varieties
- The weighted log canonical threshold
- Analytic test configurations and geodesic rays
- Delta invariants of singular del Pezzo surfaces
- Valuative stability of polarised varieties
- Semi-continuity of complex singularity exponents and Kähler-Einstein metrics on Fano orbifolds
- The Openness Conjecture and Complex Brunn-Minkowski Inequalities
- Tian’s properness conjectures and Finsler geometry of the space of Kähler metrics
- Singular Kähler-Einstein metrics
- Existence of minimal models for varieties of log general type
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- Uniform Stability of Twisted Constant Scalar Curvature Kähler Metrics
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- ON THE VOLUME OF A LINE BUNDLE
- Divisorial Zariski decompositions on compact complex manifolds
- Introduction
- On the <scp>Yau‐Tian‐Donaldson</scp> Conjecture for Singular Fano Varieties
- A variational approach to the Yau–Tian–Donaldson conjecture
- Geometric pluripotential theory on Kähler manifolds
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- K‐Stability and Kähler‐Einstein Metrics
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- A non-Archimedean approach to K-stability. II: Divisorial stability and openness
- K-stability for varieties with a big anticanonical class
- A quantization proof of the uniform Yau-Tian-Donaldson conjecture
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