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	Effectiveness of Demailly's strong openness conjecture and related problems
	Guan, Qi&apos ; Zhou, Xiangyu ; an
	2015
关键词	L-2 EXTENSION THEOREM MULTIPLIER IDEAL SHEAVES KAHLER-EINSTEIN METRICS LOG CANONICAL THRESHOLDS OHSAWA-TAKEGOSHI PLURISUBHARMONIC-FUNCTIONS HOLOMORPHIC-FUNCTIONS ALGEBRAIC-GEOMETRY VANISHING THEOREM COMPLEX
英文摘要	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 Guan and Zhou (2014, arXiv:1401.7158). We also obtain optimal effectiveness of the conjectures of Demailly-Kollar and Jonsson-Mustat respectively.; NSFC; SCI(E); ARTICLE; guanqian@math.pku.edu.cn; xyzhou@math.ac.cn; 2; 635-676; 202
语种	英语
出处	SCI
出版者	INVENTIONES MATHEMATICAE
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/415382]
专题	数学科学学院
推荐引用方式 GB/T 7714	Guan, Qi&apos,Zhou, Xiangyu,an. Effectiveness of Demailly's strong openness conjecture and related problems. 2015-01-01.

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