Subadditivity of generalized Kodaira dimensions and extension theorems

doi:10.1142/S0129167X20500986

	Subadditivity of generalized Kodaira dimensions and extension theorems
	Zhou, Xiangyu 1,3,4; Zhu, Langfeng 2
刊名	INTERNATIONAL JOURNAL OF MATHEMATICS
	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
DOI	10.1142/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
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
WOS记录号	WOS:000599893100009
内容类型	期刊论文
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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China 3.Chinese Acad Sci, AMSS, Inst Math, Beijing 100190, Peoples R China 4.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, 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.