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 | |
| Source Publication | MATHEMATISCHE ANNALEN
 |
| ISSN | 0025-5831 |
| Pages | 33 |
| Abstract | 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 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000743398000001 |
| Publisher | SPRINGER HEIDELBERG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/60042 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Ning, Jiafu; Wang, Zhiwei |
| Affiliation | 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 |
| Recommended Citation 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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