The openness conjecture for plurisubharmonic functions

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Bo Berndtsson This is my paper · ORCID

classification math.CVmath.AG

keywords conjectureopennessdemaillyfunctionsgivekollplurisubharmonicproof

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We give a proof of the openness conjecture of Demailly and Koll\'ar.

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For 1≤m<n, direct Skoda-type and strong-openness statements fail, the ball-maximum limit equals the m-Lelong number, and a new capacity scale yields L^p integrability up to (and in some cases beyond) Błocki's predicte...
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