Families of singular Kähler-Einstein metrics

DOI10.4171/jems/1249arXiv2003.08178OpenAlexW3012054630WikidataQ125684636 ScholiaQ125684636MaRDI QIDQ6172687

Henri Guenancia, Vincent Guedj, Eleonora Di Nezza

Publication date: 20 July 2023

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.08178

zbMATH Keywords

stable familiessingular Kähler-Einstein metricsfamilies of complex spaceslog Calabi-Yau manifolds contents introduction

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Fibrations, degenerations in algebraic geometry (14D06) Kähler-Einstein manifolds (32Q20) Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05)

Related Items (max. 100)

Families of singular Chern-Ricci flat metrics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Conic singularities metrics with prescribed Ricci curvature: general cone angles along normal crossing divisors
• On the boundary behavior of Kähler-Einstein metrics on log canonical pairs
• Continuity of extremal transitions and flops for Calabi-Yau manifolds
• Kähler-Einstein metrics on stable varieties and log canonical pairs
• Kähler-Einstein metrics with mixed Poincaré and cone singularities along a normal crossing divisor
• Degenerate complex Monge-Ampère equations
• Monge-Ampère equations in big cohomology classes
• Convergence of Calabi-Yau manifolds
• Toroidal embeddings. I
• A new capacity for plurisubharmonic functions
• Intrinsic capacities on compact Kähler manifolds
• Higher-order estimates for collapsing Calabi-Yau metrics
• Limits of Calabi-Yau metrics when the Kähler class degenerates
• Kähler currents and null loci
• Adiabatic limits of Ricci-flat Kähler metrics
• Regularity properties of the degenerate Monge-Ampère equations on compact Kähler manifolds
• Existence and degeneration of Kähler-Einstein metrics on minimal algebraic varieties of general ype
• Threefolds and deformations of surface singularities
• Sur les nombres de Lelong associés à l'image directe d'un courant positif fermé
• Heat kernel estimates and lower bound of eigenvalues
• The Levi problem on complex spaces with singularities
• Invariance of plurigenera
• The complex Monge-Ampère equation
• Convergence of weak Kähler-Ricci flows on minimal models of positive Kodaira dimension
• Numerical characterization of the Kähler cone of a compact Kähler manifold
• Collapsing of abelian fibered Calabi-Yau manifolds
• Variation of singular Kähler-Einstein metrics: positive Kodaira dimension
• Siu's invariance of plurigenera: a one-tower proof
• Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties
• The weighted Monge-Ampère energy of quasiplurisubharmonic functions
• Variation of singular Kähler-Einstein metrics: Kodaira dimension zero (with an appendix by Valentino Tosatti)
• Volume and capacity of sublevel sets of a Lelong class of plurisubharmonic functions
• Smooth and Singular Kähler–Einstein Metrics
• Singularities of stable varieties
• Singular Kähler-Einstein metrics
• Direct images of relative pluricanonical bundles
• On the invariance and the lower semi-continuity of plurigenera of algebraic varieties
• A Priori L -Estimates for Degenerate Complex Monge-Ampere Equations
• DEGENERATE COMPLEX MONGE–AMPÈRE EQUATIONS OVER COMPACT KÄHLER MANIFOLDS
• Existence of minimal models for varieties of log general type
• Mesures de Monge-Ampère et caractérisation géométrique des variétés algébriques affines
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• The Kähler-Ricci flow, Ricci-flat metrics and collapsing limits
• On the singularity type of full mass currents in big cohomology classes
• A filling-in problem and moderate degenerations of minimal algebraic varieties
• ON THE VOLUME OF A LINE BUNDLE
• Divisorial Zariski decompositions on compact complex manifolds
• On the Heat Kernel of the Bergmann Metric on Algebraic Varieties
• Introduction
• Extension of plurisubharmonic functions with growth control
• Collapsing Calabi–Yau manifolds
• Projective logarithmic potentials
• On the Laplace–Beltrami operator on compact complex spaces
• Metrics with cone singularities along normal crossing divisors and holomorphic tensor fields
• Sous-ensembles analytiques d'ordre fini ou infini dans $C^n$
• Sobolev and mean‐value inequalities on generalized submanifolds of Rⁿ
• Holomorphic mappings of complex manifolds
• Kähler-Einstein metrics with edge singularities

This page was built for publication: Families of singular Kähler-Einstein metrics