A proof of Demailly’s strong openness conjecture

Pages 605-616 from Volume 182 (2015), Issue 2 by Qi'an Guan, Xiangyu Zhou

Abstract

In this article, we solve the strong openness conjecture on the multiplier ideal sheaf associated to any plurisubharmonic function, which was posed by Demailly.

Keywords
, , , , ,
Mathematical Subject Classification

Primary 2000: , ,

DOI
https://doi.org/10.4007/annals.2015.182.2.5
MR
3418526
zbMATH
06487148
Milestones
Received: 19 January 2014
Revised: 14 January 2015
Accepted: 4 February 2015
Published online: 30 July 2015

Authors

Qi'an Guan

Beijing International Center for Mathematical Research, and School of Mathematical Sciences, Peking University, Beijing 100871, China

Xiangyu Zhou

Institute of Mathematics, AMSS, and Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, Beijing 100190, China