Siu's lemma, optimal L-2 extension and applications to twisted pluricanonical sheaves

doi:10.1007/s00208-018-1783-8

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	Siu's lemma, optimal L-2 extension and applications to twisted pluricanonical sheaves
	Zhou, Xiangyu 1,2,3; Zhu, Langfeng 4
	2020-06-01
发表期刊	MATHEMATISCHE ANNALEN
ISSN	0025-5831
卷号	377 期号:1-2 页码:675-722
摘要	We prove a general version of Siu's lemma for plurisubharmonic functions with nontrivial multiplier ideal sheaves and use it to prove an optimal L2 extension theorem and an optimal L-2/m extension theorem for Kahler fibrations. These results are used to prove the positivity of twisted relative pluricanonical bundles and their direct images for Kahler fibrations and to answer a comparison question about singular metrics of twisted pluricanonical bundles.
DOI	10.1007/s00208-018-1783-8
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11201347] ; National Natural Science Foundation of China[11671306]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000533678300022
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51543
专题	中国科学院数学与系统科学研究院
通讯作者	Zhou, Xiangyu; Zhu, Langfeng
作者单位	1.Chinese Acad Sci, AMSS, Inst Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
推荐引用方式 GB/T 7714	Zhou, Xiangyu,Zhu, Langfeng. Siu's lemma, optimal L-2 extension and applications to twisted pluricanonical sheaves[J]. MATHEMATISCHE ANNALEN,2020,377(1-2):675-722.
APA	Zhou, Xiangyu,&Zhu, Langfeng.(2020).Siu's lemma, optimal L-2 extension and applications to twisted pluricanonical sheaves.MATHEMATISCHE ANNALEN,377(1-2),675-722.
MLA	Zhou, Xiangyu,et al."Siu's lemma, optimal L-2 extension and applications to twisted pluricanonical sheaves".MATHEMATISCHE ANNALEN 377.1-2(2020):675-722.