EXTENSION OF COHOMOLOGY CLASSES AND HOLOMORPHIC SECTIONS DEFINED ON SUBVARIETIES
文献类型：期刊论文
| 作者 | Zhou, Xiangyu1,2,3; Zhu, Langfeng4 |
| 刊名 | JOURNAL OF ALGEBRAIC GEOMETRY
 |
| 出版日期 | 2022 |
| 卷号 | 31期号:1页码:137-179 |
| ISSN号 | 1056-3911 |
| DOI | 10.1090/jag/766 |
| 英文摘要 | In this paper, we obtain two extension theorems for cohomology classes and holomorphic sections defined on analytic subvarieties, which are defined as the supports of the quotient sheaves of multiplier ideal sheaves of quasi-plurisubharmonic functions with arbitrary singularities. The first result gives a positive answer to a question posed by Cao-Demailly-Matsumura and unifies a few well-known injectivity theorems. The second result generalizes and optimizes a general L-2 extension theorem obtained by Demailly. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000748872100007 |
| 出版者 | UNIV PRESS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59935]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhou, Xiangyu |
| 作者单位 | 1.Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China 2.Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, 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. EXTENSION OF COHOMOLOGY CLASSES AND HOLOMORPHIC SECTIONS DEFINED ON SUBVARIETIES[J]. JOURNAL OF ALGEBRAIC GEOMETRY,2022,31(1):137-179. |
| APA | Zhou, Xiangyu,&Zhu, Langfeng.(2022).EXTENSION OF COHOMOLOGY CLASSES AND HOLOMORPHIC SECTIONS DEFINED ON SUBVARIETIES.JOURNAL OF ALGEBRAIC GEOMETRY,31(1),137-179. |
| MLA | Zhou, Xiangyu,et al."EXTENSION OF COHOMOLOGY CLASSES AND HOLOMORPHIC SECTIONS DEFINED ON SUBVARIETIES".JOURNAL OF ALGEBRAIC GEOMETRY 31.1(2022):137-179. |
入库方式： OAI收割
来源：数学与系统科学研究院
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