\(L^1\) metric geometry of big cohomology classes
From MaRDI portal
Publication:2416571
zbMath1505.53081arXiv1802.00087MaRDI QIDQ2416571
Tamás Darvas, Chinh H. Lu, Eleonora Di Nezza
Publication date: 23 May 2019
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.00087
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Holomorphic bundles and generalizations (32L05) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40) General pluripotential theory (32U15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Kiselman's principle, the Dirichlet problem for the Monge-Ampère equation, and rooftop obstacle problems
- A variational approach to complex Monge-Ampère equations
- Degenerate complex Monge-Ampère equations
- Monge-Ampère equations in big cohomology classes
- Pluripotential energy
- Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Kähler metrics
- Intrinsic capacities on compact Kähler manifolds
- The Mabuchi geometry of finite energy classes
- Growth of balls of holomorphic sections and energy at equilibrium
- Some symplectic geometry on compact Kähler manifolds. I
- Fine topology, Šilov boundary, and \((dd^ c)^ n\)
- The Dirichlet problem for a complex Monge-Ampère equation
- The partial Legendre transformation for plurisubharmonic functions
- Pluricomplex energy
- The space of Kähler metrics.
- Monotonicity of nonpluripolar products and complex Monge-Ampère equations with prescribed singularity
- Plurisubharmonic envelopes and supersolutions
- A Brunn-Minkowski type inequality for Fano manifolds and some uniqueness theorems in Kähler geometry
- Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties
- The weighted Monge-Ampère energy of quasiplurisubharmonic functions
- Analytic test configurations and geodesic rays
- From Monge-Ampère equations to envelopes and geodesic rays in the zero temperature limit
- Degenerate complex Hessian equations on compact Kahler manifolds
- Tian’s properness conjectures and Finsler geometry of the space of Kähler metrics
- Geodesic rays and Kähler–Ricci trajectories on Fano manifolds
- Regularity of geodesic rays and Monge-Ampère equations
- Complex Monge-Ampere and Symplectic Manifolds
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- Smooth exhaustion functions in convex domains
- On the singularity type of full mass currents in big cohomology classes
- Metric Geometry of Normal Kähler Spaces, Energy Properness, and Existence of Canonical Metrics
- Geometry and topology of the space of Kähler metrics on singular varieties
- Regularity of weak minimizers of the K-energy and applications to properness and K-stability
- On the constant scalar curvature Kähler metrics (II)—Existence results
- Geometric pluripotential theory on Kähler manifolds
- Monotonicity of non-pluripolar Monge-Ampere masses
- Test configurations and Geodesic rays
- WEAK GEODESIC RAYS IN THE SPACE OF KÄHLER POTENTIALS AND THE CLASS
- Möbius orthogonality for generalized Morse-Kakutani flows
- Convex Analysis
This page was built for publication: \(L^1\) metric geometry of big cohomology classes