KMS Of Academy of mathematics and systems sciences, CAS
| Categorical traces and a relative Lefschetz-Verdier formula | |
| Lu, Qing1; Zheng, Weizhe2,3 | |
| 2022-02-07 | |
| Source Publication | FORUM OF MATHEMATICS SIGMA
 |
| Volume | 10Pages:24 |
| Abstract | 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. |
| DOI | 10.1017/fms.2022.2 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000751898300001 |
| Publisher | CAMBRIDGE UNIV PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59966 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Lu, Qing |
| Affiliation | 1.Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
| Recommended Citation 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. |
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