Categorical traces and a relative Lefschetz-Verdier formula

doi:10.1017/fms.2022.2

	Categorical traces and a relative Lefschetz-Verdier formula
	Lu, Qing 2; Zheng, Weizhe 1,3
刊名	FORUM OF MATHEMATICS SIGMA
	2022-02-07
卷号	10 页码:24
DOI	10.1017/fms.2022.2
英文摘要	We prove a relative Lefschetz-Verdier theorem for locally acyclic objects over a Noetherian base scheme. This is done by studying duals and traces in the symmetric monoidal 2-category of cohomological correspondences. We show that local acyclicity is equivalent to dualisability and deduce that duality preserves local acyclicity. As another application of the category of cohomological correspondences, we show that the nearby cycle functor over a Henselian valuation ring preserves duals, generalising a theorem of Gabber.
资助项目	National Key Research and Development Program of China[2020YFA0712600] ; National Natural Science Foundation of China[12125107] ; National Natural Science Foundation of China[11822110] ; National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[11621061] ; Beijing Natural Science Foundation[1202014] ; Fundamental Research Funds for Central Universities of China ; China Scholarship Council
WOS研究方向	Mathematics
语种	英语
出版者	CAMBRIDGE UNIV PRESS
WOS记录号	WOS:000751898300001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/59965]
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.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China 2.Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Lu, Qing,Zheng, Weizhe. Categorical traces and a relative Lefschetz-Verdier formula[J]. FORUM OF MATHEMATICS SIGMA,2022,10:24.
APA	Lu, Qing,&Zheng, Weizhe.(2022).Categorical traces and a relative Lefschetz-Verdier formula.FORUM OF MATHEMATICS SIGMA,10,24.
MLA	Lu, Qing,et al."Categorical traces and a relative Lefschetz-Verdier formula".FORUM OF MATHEMATICS SIGMA 10(2022):24.