Kähler-Einstein metrics and volume minimization
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Publication:1628429
DOI10.1016/j.aim.2018.10.038zbMath1404.32044arXiv1602.05094OpenAlexW2962891813MaRDI QIDQ1628429
Publication date: 4 December 2018
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.05094
Related Items (28)
K-MODULI OF CURVES ON A QUADRIC SURFACE AND K3 SURFACES ⋮ On the stability of extensions of tangent sheaves on Kähler-Einstein Fano/Calabi-Yau pairs ⋮ Toric Sasaki-Einstein metrics with conical singularities ⋮ Minimizing normalized volumes of valuations ⋮ ON THE SHARPNESS OF TIAN’S CRITERION FOR K-STABILITY ⋮ Positivity of the CM line bundle for families of \(K\)-stable klt Fano varieties ⋮ K-stability of cubic fourfolds ⋮ ACC for local volumes and boundedness of singularities ⋮ Algebraic uniqueness of Kähler-Ricci flow limits and optimal degenerations of Fano varieties ⋮ GIT Stability, K-Stability and the Moduli Space of Fano Varieties ⋮ On K‐stability of some del Pezzo surfaces of Fano index 2 ⋮ Equivariant localization and holography ⋮ K-stability and birational models of moduli of quartic \(K3\) surfaces ⋮ Kähler-Einstein metrics ⋮ A Guided Tour to Normalized Volume ⋮ Existence of valuations with smallest normalized volume ⋮ Stability of valuations: higher rational rank ⋮ Algebraicity of the metric tangent cones and equivariant K-stability ⋮ K-stability of Fano varieties: an algebro-geometric approach ⋮ Calabi-Yau manifolds with isolated conical singularities ⋮ Uniqueness of \(\mathrm{K}\)-polystable degenerations of Fano varieties ⋮ A note on equivariant K-stability ⋮ The normalized volume of a singularity is lower semicontinuous ⋮ Delta invariants of projective bundles and projective cones of Fano type ⋮ \(K\)-stability of cubic threefolds ⋮ Stability of valuations and Kollár components ⋮ Applications of the moduli continuity method to log K‐stable pairs ⋮ Optimal destabilization of K-unstable Fano varieties via stability thresholds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Toric Kähler-Einstein metrics and convex compact polytopes
- The greatest Ricci lower bound, conical Einstein metrics and Chern number inequality
- K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics
- Real Monge-Ampère equations and Kähler-Ricci solitons on toric log Fano varieties
- Conical Kähler-Einstein metrics revisited
- Calabi-Yau manifolds with isolated conical singularities
- Testing log K-stability by blowing up formalism
- Stability of valuations and Kollár components
- On \(\eta\)-Einstein Sasakian geometry
- Canonical Sasakian metrics
- Sasaki-Einstein manifolds and volume minimisation
- Obstructions to the existence of Sasaki-Einstein metrics
- Bergman kernels and the pseudoeffectivity of relative canonical bundles
- A measure of integrity for local analytic algebras
- Remarks on the existence problem of positive Kähler-Einstein metrics
- Kähler-Einstein metrics with positive scalar curvature
- Minimizing normalized volumes of valuations
- K-semistability is equivariant volume minimization
- Yau-Tian-Donaldson correspondence for K-semistable Fano manifolds
- Uniform \(K\)-stability, Duistermaat-Heckman measures and singularities of pairs
- Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. II
- K-semistability for irregular Sasakian manifolds
- Scalar curvature and stability of toric varieties.
- An obstruction to the existence of Einstein Kaehler metrics
- On multiplicities of graded sequences of ideals.
- A generalization of the Ross-Thomas slope theory
- Valuations and asymptotic invariants for sequences of ideals
- Special test configuration and \(K\)-stability of Fano varieties
- Vanishing sequences and Okounkov bodies
- A Brunn-Minkowski type inequality for Fano manifolds and some uniqueness theorems in Kähler geometry
- Multiplicities associated to graded families of ideals
- A thermodynamical formalism for Monge-Ampère equations, Moser-Trudinger inequalities and Kähler-Einstein metrics
- Einstein metrics on five-dimensional Seifert bundles
- Smooth and Singular Kähler–Einstein Metrics
- Valuation spaces and multiplier ideals on singular varieties
- Greatest lower bounds on the Ricci curvature of Fano manifolds
- Singularities on normal varieties
- ON STABILITY OF THE TANGENT BUNDLES OF FANO VARIETIES
- Singularities of Pairs
- Optimal bounds for the volumes of Kähler-Einstein Fano manifolds
- Quasi-projectivity of the moduli space of smooth Kahler-Einstein Fano manifolds
- The volume of singular Kähler–Einstein Fano varieties
- Uniform approximation of Abhyankar valuation ideals in smooth function fields
- Introduction
- A refinement of Izumi's Theorem
- Okounkov bodies of filtered linear series
- Remarks on logarithmic K-stability
- Kähler Metrics with Cone Singularities Along a Divisor
- Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities
- Kähler-Einstein metrics with edge singularities
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