Positivity of holomorphic vector bundles in terms of L-p-estimates for (partial derivative)over-bar

doi:10.1007/s00208-021-02348-7

	Positivity of holomorphic vector bundles in terms of L-p-estimates for (partial derivative)over-bar
	Deng, Fusheng 3; Ning, Jiafu 4; Wang, Zhiwei 1; Zhou, Xiangyu 2,5
刊名	MATHEMATISCHE ANNALEN
	2022-01-17
页码	33
ISSN号	0025-5831
DOI	10.1007/s00208-021-02348-7
英文摘要	In this paper, we introduce a new notion of the Hermitian holomorphic vector bundles satisfying the optimal L-2-estimate, and give a characterization of Nakano positivity for Hermitian holomorphic vector bundles via the notion. As an application, we provide a new method to obtain Nakano positivity of direct image sheaves of twisted relative canonical bundles associated to holomorphic families of complex manifolds. We also present a comprehensive picture about converses of L-p-estimates and L-p-extension for (partial derivative) over bar.
资助项目	NSFC[11871451] ; NSFC[12071485] ; NSFC[12071035] ; NSFC[11688101] ; Fundamental Research Funds for the Central Universities ; National Key R&D Program of China[2021YFA1002600] ; Beijing Natural Science Foundation[1202012] ; Beijing Natural Science Foundation[Z190003]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000743398000001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60041]
专题	中国科学院数学与系统科学研究院
通讯作者	Ning, Jiafu; Wang, Zhiwei
作者单位	1.Beijing Normal Univ, Sch Math Sci, Minist Educ, Lab Math & Complex Syst, Beijing 100875, 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.Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Peoples R China 5.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Deng, Fusheng,Ning, Jiafu,Wang, Zhiwei,et al. Positivity of holomorphic vector bundles in terms of L-p-estimates for (partial derivative)over-bar[J]. MATHEMATISCHE ANNALEN,2022:33.
APA	Deng, Fusheng,Ning, Jiafu,Wang, Zhiwei,&Zhou, Xiangyu.(2022).Positivity of holomorphic vector bundles in terms of L-p-estimates for (partial derivative)over-bar.MATHEMATISCHE ANNALEN,33.
MLA	Deng, Fusheng,et al."Positivity of holomorphic vector bundles in terms of L-p-estimates for (partial derivative)over-bar".MATHEMATISCHE ANNALEN (2022):33.