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arXiv · 1305.0544

The openness conjecture for projective manifolds

Bo Berndtsson
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Abstract

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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Bo Berndtsson. 2013-05-02. The openness conjecture for projective manifolds. https://arxiv.org/abs/1305.0544

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