DUALITY AND NEARBY CYCLES OVER GENERAL BASES

doi:10.1215/00127094-2019-0057

CSpace

	DUALITY AND NEARBY CYCLES OVER GENERAL BASES
	Lu, Qing 1,2; Zheng, Weizhe 3,4
	2019-11-01
发表期刊	DUKE MATHEMATICAL JOURNAL
ISSN	0012-7094
卷号	168 期号:16 页码:3135-3213
摘要	This paper studies the sliced nearby cycle functor and its commutation with duality. Over a Henselian discrete valuation ring, we show that this commutation holds, confirming a prediction of Deligne. As an application we give a new proof of Beilinson's theorem that the vanishing cycle functor commutes with duality up to twist. Over an excellent base scheme, we show that the sliced nearby cycle functor commutes with duality up to modification of the base. We deduce that duality preserves universal local acyclicity over an excellent regular base. We also present Gabber's theorem that local acyclicity implies universal local acyclicity over a Noetherian base.
DOI	10.1215/00127094-2019-0057
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11621061] ; National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[11822110] ; National Natural Science Foundation of China[11371043] ; National Natural Science Foundation of China[11501541] ; China Scholarship Council ; Fundamental Research Funds for Central Universities of China ; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences ; l'Institut des Hautes Etudes Scientifiques ; University of Hong Kong ; Princeton University
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000494997500004
出版者	DUKE UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50613
专题	中国科学院数学与系统科学研究院
通讯作者	Lu, Qing
作者单位	1.Beijing Normal Univ, Sch Math Sci, Beijing, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Lu, Qing,Zheng, Weizhe. DUALITY AND NEARBY CYCLES OVER GENERAL BASES[J]. DUKE MATHEMATICAL JOURNAL,2019,168(16):3135-3213.
APA	Lu, Qing,&Zheng, Weizhe.(2019).DUALITY AND NEARBY CYCLES OVER GENERAL BASES.DUKE MATHEMATICAL JOURNAL,168(16),3135-3213.
MLA	Lu, Qing,et al."DUALITY AND NEARBY CYCLES OVER GENERAL BASES".DUKE MATHEMATICAL JOURNAL 168.16(2019):3135-3213.