Effectiveness of Demailly's strong openness conjecture and related problems
Complex Variables
2023-07-19 v1 Algebraic Geometry
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-Mustat\u{a} respectively.
Keywords
Cite
@article{arxiv.1403.7247,
title = {Effectiveness of Demailly's strong openness conjecture and related problems},
author = {Qi'an Guan and Xiangyu Zhou},
journal= {arXiv preprint arXiv:1403.7247},
year = {2023}
}
Comments
31 pages, 0 figures. arXiv admin note: substantial text overlap with arXiv:1401.7158