Generalized Monge–Ampère Capacities

DOI10.1093/imrn/rnu166zbMath1330.32013arXiv1402.2497OpenAlexW2962831793MaRDI QIDQ2947840

Chinh H. Lu, Eleonora Di Nezza

Publication date: 29 September 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.2497

zbMATH Keywords

compact Kähler manifoldscomplex Monge-Ampère equationcapacities

Mathematics Subject Classification ID

Compact Kähler manifolds: generalizations, classification (32J27) Complex Monge-Ampère operators (32W20)

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Monotonicity of nonpluripolar products and complex Monge-Ampère equations with prescribed singularity ⋮ Uniqueness and short time regularity of the weak Kähler-Ricci flow ⋮ Complex Monge-Ampère equations on quasi-projective varieties ⋮ Quasi-plurisubharmonic envelopes 3: solving Monge-Ampère equations on Hermitian manifolds ⋮ Continuity of Monge-Ampère potentials with prescribed singularities ⋮ Log-concavity of volume and complex Monge-Ampère equations with prescribed singularity ⋮ Special metrics in Kähler geometry ⋮ Finite pluricomplex energy measures ⋮ Pluripotential Monge-Ampère flows in big cohomology classes ⋮ Comparison of Monge–Ampère capacities ⋮ The Dirichlet problem for the Monge-Ampère equation on Hermitian manifolds with boundary

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