Plurisubharmonic functions and nef classes on complex manifolds

DOI10.1090/S0002-9939-2012-11206-7zbMath1273.53063arXiv1102.1676OpenAlexW2075655167MaRDI QIDQ2846754

Ben Weinkove, Valentino Tosatti

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1676

zbMATH Keywords

logarithmic singularitiesMoishezon \(n\)-foldsnef class

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05) Lelong numbers (32U25)

Related Items

Pluripotential theory on compact Hermitian manifolds, Continuous solutions to Monge-Ampère equations on Hermitian manifolds for measures dominated by capacity, The complex Monge-Ampère type equation on compact Hermitian manifolds and applications, Open problems in pluripotential theory, Hermitian metrics, \((n-1,n-1)\) forms and Monge-Ampère equations

Cites Work

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• Convergence of the parabolic complex Monge-Ampère equation on compact Hermitian manifolds
• Estimates for the complex Monge-Ampère equation on Hermitian and balanced manifolds
• A converse to the Andreotti-Grauert theorem
• A numerical criterion for very ample line bundles
• Every K 3 surface is Kähler
• On the uniform estimate in the Calabi-Yau theorem. II
• An example of a non-Kählerian complex-analytic deformation of Kählerian complex structures
• Intrinsic capacities on compact Kähler manifolds
• Quasiplurisubharmonic Green functions
• Champs magnétiques et inégalités de Morse pour la d-cohomologie. (Magnetic fields and Morse inequalities for d-cohomology)
• On Kähler-Einstein metrics on certain Kähler manifolds with \(C_ 1(M)>0\)
• Kähler-Einstein metrics on complex surfaces with \(C_ 1>0\)
• Courants kählériens et surfaces compactes. (Kähler currents and compact surfaces)
• On compact Kähler surfaces
• Image of analytic hypersurfaces. II
• Numerical characterization of the Kähler cone of a compact Kähler manifold
• Effective bounds for very ample line bundles
• Effective very ampleness
• Complex Monge-Ampère equations and totally real submanifolds
• The complex Monge-Ampère equation on compact Hermitian manifolds
• Kähler metrics on elliptic surfaces
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Pluripotential estimates on compact Hermitian manifolds
• On the Structure of Compact Complex Analytic Surfaces, I