The openness conjecture for projective manifolds
classification
🧮 math.CV
math.AG
keywords
conjectureopennessprojectiveamplebundlescorollarycurveddemailly
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We give a proof of the openness conjecture of Demailly and Koll\'ar for positively curved singular metrics on ample line bundles over projective varieties. As a corollary it follows that the openness conjecture for plurisubharmonic functions with isolated sigularities holds.
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