Effectiveness of Demailly's strong openness conjecture and related problems

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Publication:894230

DOI10.1007/S00222-014-0575-3zbMATH Open1333.32014arXiv1403.7247OpenAlexW2084912375WikidataQ122926534 ScholiaQ122926534MaRDI QIDQ894230

Author name not available (Why is that?)

Publication date: 30 November 2015

Published in: (Search for Journal in Brave)

Abstract: In this article, stimulated by the effectiveness in Berndtsson's solution of the openness conjecture and continuing our solution of Demailly's strong openness conjecture, we discuss conditions to guarantee the effectiveness of the conjecture and establish such an effectiveness result. We explicitly point out a lower semicontinuity property of plurisubharmonic functions with a multiplier, which is implicitly contained in our paper arXiv:1401.7158. We also obtain optimal effectiveness of the conjectures of Demailly-Koll'{a}r and Jonsson-Mustatu{a} respectively.


Full work available at URL: https://arxiv.org/abs/1403.7247



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