The openness conjecture for plurisubharmonic functions

Abstract

We give a proof of the openness conjecture of Demailly and Kollár.

10 pages. This article supersedes our previous post, 1305.0544, which concerns the case of projective manifolds

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• Geodesic Rays and Kähler-Ricci Trajectories on Fano Manifolds
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• The Lelong number, the Monge-Ampère mass and the Schwarz symmetrization of plurisubharmonic functions
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• Convergence Results for Two Kahler-Ricci Flows