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Siu's lemma, optimal L-2 extension and applications to twisted pluricanonical sheaves
Zhou, Xiangyu1,2,3; Zhu, Langfeng4
2020-06-01
Source PublicationMATHEMATISCHE ANNALEN
ISSN0025-5831
Volume377Issue:1-2Pages:675-722
AbstractWe 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.
DOI10.1007/s00208-018-1783-8
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[11201347] ; National Natural Science Foundation of China[11671306]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000533678300022
PublisherSPRINGER HEIDELBERG
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/51543
Collection中国科学院数学与系统科学研究院
Corresponding AuthorZhou, Xiangyu; Zhu, Langfeng
Affiliation1.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
Recommended Citation
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.
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