\(L^p\) metric geometry of big and nef cohomology classes
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Publication:1987344
DOI10.1007/s40306-019-00343-4zbMath1436.53050arXiv1808.06308OpenAlexW2964000549MaRDI QIDQ1987344
Chinh H. Lu, Eleonora Di Nezza
Publication date: 14 April 2020
Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.06308
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Complex Monge-Ampère operators (32W20)
Related Items (4)
Geodesic distance and Monge-Ampére measures on contact sets ⋮ Mabuchi geometry of big cohomology classes ⋮ C1,1 regularity of geodesics of singular Kähler metrics ⋮ On a family of quasimetric spaces in generalized potential theory
Cites Work
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- Stability of Monge-Ampère energy classes
- 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
- Intrinsic capacities on compact Kähler manifolds
- The Mabuchi geometry of finite energy classes
- Some symplectic geometry on compact Kähler manifolds. I
- Rolf Nevanlinna in memoriam
- The Dirichlet problem for a complex Monge-Ampère equation
- The space of Kähler metrics.
- Monotonicity of nonpluripolar products and complex Monge-Ampère equations with prescribed singularity
- On the \(C^{1,1}\) regularity of geodesics in the space of Kähler metrics
- Plurisubharmonic envelopes and supersolutions
- A Brunn-Minkowski type inequality for Fano manifolds and some uniqueness theorems in Kähler geometry
- The weighted Monge-Ampère energy of quasiplurisubharmonic functions
- Tian’s properness conjectures and Finsler geometry of the space of Kähler metrics
- On regularization of plurisubharmonic functions on manifolds
- Complex Monge-Ampere and Symplectic Manifolds
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- 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
- Divisorial Zariski decompositions on compact complex manifolds
- 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
- Möbius orthogonality for generalized Morse-Kakutani flows
- Metrics with cone singularities along normal crossing divisors and holomorphic tensor fields
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