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DUALITY AND NEARBY CYCLES OVER GENERAL BASES

文献类型：期刊论文

作者Lu, Qing1,2; Zheng, Weizhe3,4
刊名DUKE MATHEMATICAL JOURNAL
出版日期2019-11-01
卷号168期号:16页码:3135-3213
ISSN号0012-7094
DOI10.1215/00127094-2019-0057
英文摘要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.
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
语种英语
WOS记录号WOS:000494997500004
出版者DUKE UNIV PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/50612]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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