Regularity properties of the degenerate Monge-Ampère equations on compact Kähler manifolds

DOI10.1007/s11401-007-0457-8zbMath1218.35114arXivmath/0609326OpenAlexW2152937916WikidataQ126078781 ScholiaQ126078781MaRDI QIDQ1044782

Mihai Paun

Publication date: 15 December 2009

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609326

zbMATH Keywords

estimatespluripotential theoryMonge-Ampère operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Monge-Ampère equations (35J96)

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Algebraic approximation and the decomposition theorem for Kähler Calabi-Yau varieties, Complex Monge-Ampère equations on quasi-projective varieties, The canonical spectrum of projective toric manifolds, Kähler spaces with zero first Chern class: Bochner principle, Albanese map and fundamental groups, Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties, Smooth approximation of twisted Kähler-Einstein metrics, Families of singular Kähler-Einstein metrics, Variation of singular Kähler-Einstein metrics: Kodaira dimension zero (with an appendix by Valentino Tosatti), Kähler-Einstein metrics on stable varieties and log canonical pairs, Complete scalar-flat Kähler metrics on affine algebraic manifolds, Convergence of weak Kähler-Ricci flows on minimal models of positive Kodaira dimension, Orbifold regularity of weak Kähler-Einstein metrics, Positivity of direct images of fiberwise Ricci-flat metrics on Calabi-Yau fibrations, \(\mathrm{klt}\) varieties with trivial canonical class: holonomy, differential forms, and fundamental groups, KÄHLER–EINSTEIN METRICS WITH CONE SINGULARITIES ON KLT PAIRS

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