Higher regularity for singular Kähler-Einstein metrics

DOI10.1215/00127094-2022-0107arXiv2202.11083OpenAlexW4391975491MaRDI QIDQ6118765

Publication date: 28 February 2024

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.11083

zbMATH Keywords

Calabi-Yau manifolds maximal volume growth singular Kähler-Einstein metrics noncollapsed limits

Mathematics Subject Classification ID

Calabi-Yau theory (complex-analytic aspects) (32Q25) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Kähler-Einstein manifolds (32Q20)

Cites Work

Asymptotically conical Calabi-Yau manifolds. I
Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications
Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry
Stability of valuations: higher rational rank
Calabi-Yau manifolds with isolated conical singularities
Einstein-Kähler V-metrics on open Satake V-surfaces with isolated quotient singularities
Plurisubharmonische Funktionen in komplexen Räumen
The geometric dual of \(a\)-maximisation for toric Sasaki-Einstein manifolds
Ricci-flat metrics on the complexification of a compact rank one symmetric space
On the cone structure at infinity of Ricci flat manifolds with Euclidean volume growth and quadratic curvature decay
Ricci curvature and volume convergence
On the structure of spaces with Ricci curvature bounded below. I
Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. II
On the singularities of spaces with bounded Ricci curvature
Lower bounds on Ricci curvature and the almost rigidity of warped products
Gromov-Hausdorff limits of Kähler manifolds with Ricci curvature bounded below
Uniqueness of some Calabi-Yau metrics on \(\mathbf{C}^n\)
On uniqueness of tangent cones for Einstein manifolds
Degenerations of \(\mathbf{C}^n\) and Calabi-Yau metrics
Kähler-Einstein metrics near an isolated log-canonical singularity
Singular Kähler-Einstein metrics
Kähler–Einstein Metrics and Stability
On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
<scp>Gromov‐Hausdorff</scp> Limits of Kähler Manifolds with Ricci Curvature Bounded Below <scp>II</scp>
On the <scp>Yau‐Tian‐Donaldson</scp> Conjecture for Singular Fano Varieties
A special Calabi–Yau degeneration with trivial monodromy
Algebraicity of the metric tangent cones and equivariant K-stability
Small Perturbation Solutions for Elliptic Equations
Stability, birational transformations and the Kahler-Einstein problem
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
Continuity of Singular Kähler–Einstein Potentials
Asymptotics of Kähler-Einstein metrics on complex hyperbolic cusps

This page was built for publication: Higher regularity for singular Kähler-Einstein metrics