A relative Yau-Tian-Donaldson conjecture and stability thresholds
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Publication:6200732
DOI10.1016/j.aim.2024.109537arXiv2302.07213MaRDI QIDQ6200732
Publication date: 25 March 2024
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.07213
Fano varieties (14J45) Kähler-Einstein manifolds (32Q20) Plurisubharmonic functions and generalizations (32U05) Notions of stability for complex manifolds (32Q26)
Cites Work
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- K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics
- The volume of an isolated singularity
- A proof of Demailly's strong openness conjecture
- Degenerate complex Monge-Ampère equations
- Monge-Ampère equations in big cohomology classes
- Valuations and plurisubharmonic singularities
- On Kähler-Einstein metrics on certain Kähler manifolds with \(C_ 1(M)>0\)
- Fine topology, Šilov boundary, and \((dd^ c)^ n\)
- Approximating Zariski decomposition of big line bundles
- 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
- K-semistability of cscK manifolds with transcendental cohomology class
- On the K-stability of Fano varieties and anticanonical divisors
- Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
- A generalization of the Ross-Thomas slope theory
- Height and GIT weight
- K-stability of Fano varieties: an algebro-geometric approach
- Uniform K-stability and plt blowups of log Fano pairs
- \(G\)-uniform stability and Kähler-Einstein metrics on Fano varieties
- \(L^1\) metric geometry of potentials with prescribed singularities on compact Kähler manifolds
- 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
- Finite generation for valuations computing stability thresholds and applications to K-stability
- Geodesic stability, the space of rays and uniform convexity in Mabuchi geometry
- 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
- A valuative criterion for uniform K-stability of \(\mathbb{Q}\)-Fano varieties
- The weighted Monge-Ampère energy of quasiplurisubharmonic functions
- Analytic test configurations and geodesic rays
- The space of finite-energy metrics over a degeneration of complex manifolds
- Semi-continuity of complex singularity exponents and Kähler–Einstein metrics on Fano orbifolds
- Differentiability of volumes of divisors and a problem of Teissier
- Convex bodies associated to linear series
- Uniform Stability of Twisted Constant Scalar Curvature Kähler Metrics
- On the singularity type of full mass currents in big cohomology classes
- Divisorial Zariski decompositions on compact complex manifolds
- The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
- Comparison of Monge–Ampère capacities
- A variational approach to the Yau–Tian–Donaldson conjecture
- Monotonicity of non-pluripolar Monge-Ampere masses
- K‐Stability and Kähler‐Einstein Metrics
- WEAK GEODESIC RAYS IN THE SPACE OF KÄHLER POTENTIALS AND THE CLASS
- 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
- Intersection theory of nefb-divisor classes
- A subadditivity property of multiplier ideals.
- Mabuchi geometry of big cohomology classes
- Continuity method with movable singularities for classical complex Monge-Ampere equations
- K-stability for varieties with a big anticanonical class
- Mabuchi's soliton metric and relative D-stability
- The strong topology of \(\omega \)-plurisubharmonic functions