KMS Of Academy of mathematics and systems sciences, CAS
Positivity of holomorphic vector bundles in terms of L-p-estimates for (partial derivative)over-bar | |
Deng, Fusheng1; Ning, Jiafu2; Wang, Zhiwei3; Zhou, Xiangyu4,5 | |
2022-01-17 | |
发表期刊 | MATHEMATISCHE ANNALEN |
ISSN | 0025-5831 |
页码 | 33 |
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. |
DOI | 10.1007/s00208-021-02348-7 |
收录类别 | SCI |
语种 | 英语 |
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 |
WOS类目 | Mathematics |
WOS记录号 | WOS:000743398000001 |
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/60042 |
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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Peoples R China 3.Beijing Normal Univ, Sch Math Sci, Minist Educ, Lab Math & Complex Syst, Beijing 100875, Peoples R China 4.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 5.Chinese Acad Sci, Hua Loo Keng Key Lab Math, 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. |
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