Siu's lemma, optimal L-2 extension and applications to twisted pluricanonical sheaves
文献类型：期刊论文
| 作者 | Zhou, Xiangyu1,2,3; Zhu, Langfeng4 |
| 刊名 | MATHEMATISCHE ANNALEN
 |
| 出版日期 | 2020-06-01 |
| 卷号 | 377期号:1-2页码:675-722 |
| ISSN号 | 0025-5831 |
| DOI | 10.1007/s00208-018-1783-8 |
| 英文摘要 | 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. |
| 资助项目 | National Natural Science Foundation of China[11201347] ; National Natural Science Foundation of China[11671306] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000533678300022 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51542]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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