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 | |
| 发表期刊 | FORUM OF MATHEMATICS SIGMA
 |
| 卷号 | 10页码:24 |
| 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. |
| DOI | 10.1017/fms.2022.2 |
| 收录类别 | SCI |
| 语种 | 英语 |
| 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 |
| WOS类目 | Mathematics, Applied ; Mathematics |
| WOS记录号 | WOS:000751898300001 |
| 出版者 | CAMBRIDGE 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/59966 |
| 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 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 |
| 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. |
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