Effective vanishing theorems for ample and globally generated vector bundles

CSpace > 数学所

	Effective vanishing theorems for ample and globally generated vector bundles
	Liu, Kefeng 1,2; Yang, Xiaokui3
	2015-10-01
发表期刊	COMMUNICATIONS IN ANALYSIS AND GEOMETRY
ISSN	1019-8385
卷号	23 期号:4 页码:797-818
摘要	By proving an integral formula of the curvature tensor of E circle times det E, we observe that the curvature of E circle times det E is very similar to that of a line bundle and obtain certain new Kodaira-Akizuki-Nakano type vanishing theorems for vector bundles. As special cases, we deduce new vanishing theorems for ample, nef and globally generated vector bundles by analytic method instead of the Leray-Borel-Le Potier spectral sequence.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000359481800003
出版者	INT PRESS BOSTON, INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20566
专题	数学所
通讯作者	Liu, Kefeng
作者单位	1.Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Peoples R China 2.Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu, Kefeng,Yang, Xiaokui. Effective vanishing theorems for ample and globally generated vector bundles[J]. COMMUNICATIONS IN ANALYSIS AND GEOMETRY,2015,23(4):797-818.
APA	Liu, Kefeng,&Yang, Xiaokui.(2015).Effective vanishing theorems for ample and globally generated vector bundles.COMMUNICATIONS IN ANALYSIS AND GEOMETRY,23(4),797-818.
MLA	Liu, Kefeng,et al."Effective vanishing theorems for ample and globally generated vector bundles".COMMUNICATIONS IN ANALYSIS AND GEOMETRY 23.4(2015):797-818.