\(L^1\) metric geometry of potentials with prescribed singularities on compact Kähler manifolds
From MaRDI portal
Publication:2074491
DOI10.1007/s12220-021-00779-xzbMath1487.32179arXiv1909.03897OpenAlexW2971857952MaRDI QIDQ2074491
Publication date: 10 February 2022
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.03897
compact Kähler manifoldspluripotential theorycomplex Monge-Ampère equationsquasi-plurisubharmonic functions
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Compact Kähler manifolds: generalizations, classification (32J27) Plurisubharmonic functions and generalizations (32U05)
Related Items (6)
Mabuchi geometry of big cohomology classes ⋮ Quasi-monotone convergence of plurisubharmonic functions ⋮ Continuity method with movable singularities for classical complex Monge-Ampere equations ⋮ The strong topology of \(\omega \)-plurisubharmonic functions ⋮ A relative Yau-Tian-Donaldson conjecture and stability thresholds ⋮ Kähler-Einstein metrics with prescribed singularities on Fano manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A variational approach to complex Monge-Ampère equations
- Degenerate complex Monge-Ampère equations
- Monge-Ampère equations in big cohomology classes
- Réduction du cas positif de l'équation de Monge-Ampère sur les variétés Kählériennes compactes à la démonstration d'une inégalité
- Intrinsic capacities on compact Kähler manifolds
- The Mabuchi geometry of finite energy classes
- Growth of balls of holomorphic sections and energy at equilibrium
- K-energy maps integrating Futaki invariants
- Fine topology, Šilov boundary, and \((dd^ c)^ n\)
- Rolf Nevanlinna in memoriam
- The space of Kähler metrics.
- Monotonicity of nonpluripolar products and complex Monge-Ampère equations with prescribed singularity
- Log-concavity of volume and complex Monge-Ampère equations with prescribed singularity
- Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties
- Analytic test configurations and geodesic rays
- Envelopes with prescribed singularities
- Tian’s properness conjectures and Finsler geometry of the space of Kähler metrics
- Geodesic rays and Kähler–Ricci trajectories on Fano manifolds
- Complex Monge-Ampere and Symplectic Manifolds
- On the singularity type of full mass currents in big cohomology classes
- Comparison of Monge–Ampère capacities
- Regularity of weak minimizers of the K-energy and applications to properness and K-stability
- On the constant scalar curvature Kähler metrics (I)—A priori estimates
- On the constant scalar curvature Kähler metrics (II)—Existence results
- Monotonicity of non-pluripolar Monge-Ampere masses
- Möbius orthogonality for generalized Morse-Kakutani flows
This page was built for publication: \(L^1\) metric geometry of potentials with prescribed singularities on compact Kähler manifolds