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A proof of Demailly's strong openness conjecture

Qi'an Guan Beijing International Center for Mathematical Research, and School of Mathematical Sciences, Peking University Xiangyu Zhou Institute of Mathematics, AMSS, and Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences

Complex Variables and Complex Analysis mathscidoc:1806.01001

Distinguished Paper Award in 2018

Annals of Mathematics, 2015
In this article, we solve the strong openness conjecture on the multiplier ideal sheaf associated to any plurisubharmonic function, which was posed by Demailly.
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@inproceedings{qi'an2015a,
  title={A proof of Demailly's strong openness conjecture},
  author={Qi'an Guan, and Xiangyu Zhou},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180608110601979463098},
  booktitle={Annals of Mathematics},
  year={2015},
}
Qi'an Guan, and Xiangyu Zhou. A proof of Demailly's strong openness conjecture. 2015. In Annals of Mathematics. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180608110601979463098.
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