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Subadditivity of generalized Kodaira dimensions and extension theorems

文献类型：期刊论文

作者Zhou, Xiangyu1,2,3; Zhu, Langfeng4
刊名INTERNATIONAL JOURNAL OF MATHEMATICS
出版日期2020-11-01
卷号31期号:12页码:36
关键词Extension theorem L-2 estimate multiplier ideal sheaf Kodaira dimension Kahler fibration
ISSN号0129-167X
DOI10.1142/S0129167X20500986
英文摘要In this paper, we introduce the notion of generalized Kodaira dimension with multiplier ideal sheaves, and prove the subadditivity of these generalized Kodaira dimensions for certain Kahler fibrations, which was originally obtained for Kodaira dimensions of algebraic fiber spaces by Kawamata and Viehweg. Our method is analytic and based on some new results in recent years. The crucial step in our proof is to prove an L-2/k extension theorem for twisted pluricanonical sections on compact Kahler manifolds. Moreover, we also discuss the relation between two previous optimal L-2 extension theorems with singular weights on weakly pseudoconvex Kahler manifolds.
资助项目National Natural Science Foundation of China[11201347] ; National Natural Science Foundation of China[12022110] ; National Natural Science Foundation of China[11671306]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000599893100009
出版者WORLD SCIENTIFIC PUBL CO PTE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/57831]  
专题中国科学院数学与系统科学研究院
通讯作者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. Subadditivity of generalized Kodaira dimensions and extension theorems[J]. INTERNATIONAL JOURNAL OF MATHEMATICS,2020,31(12):36.
APA Zhou, Xiangyu,&Zhu, Langfeng.(2020).Subadditivity of generalized Kodaira dimensions and extension theorems.INTERNATIONAL JOURNAL OF MATHEMATICS,31(12),36.
MLA Zhou, Xiangyu,et al."Subadditivity of generalized Kodaira dimensions and extension theorems".INTERNATIONAL JOURNAL OF MATHEMATICS 31.12(2020):36.

入库方式： OAI收割

来源：数学与系统科学研究院

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