Subadditivity of generalized Kodaira dimensions and extension theorems

doi:10.1142/S0129167X20500986

CSpace

	Subadditivity of generalized Kodaira dimensions and extension theorems
	Zhou, Xiangyu 1,2,3; Zhu, Langfeng 4
	2020-11-01
发表期刊	INTERNATIONAL JOURNAL OF MATHEMATICS
ISSN	0129-167X
卷号	31 期号:12 页码:36
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.
关键词	Extension theorem L-2 estimate multiplier ideal sheaf Kodaira dimension Kahler fibration
DOI	10.1142/S0129167X20500986
收录类别	SCI
语种	英语
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
WOS类目	Mathematics
WOS记录号	WOS:000599893100009
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/57832
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.