KMS Of Academy of mathematics and systems sciences, CAS
| Compatible systems and ramification | |
| Lu, Qing1,2; Zheng, Weizhe3,4,5 | |
| 2019-12-01 | |
| 发表期刊 | COMPOSITIO MATHEMATICA
 |
| ISSN | 0010-437X |
| 卷号 | 155期号:12页码:2334-2353 |
| 摘要 | We show that compatible systems of l-adic sheaves on a scheme of finite type over the ring of integers of a local field are compatible along the boundary up to stratification. This extends a theorem of Deligne on curves over a finite field. As an application, we deduce the equicharacteristic case of classical conjectures on l-independence for proper smooth varieties over complete discrete valuation fields. Moreover, we show that compatible systems have compatible ramification. We also prove an analogue for integrality along the boundary. |
| 关键词 | l-independence integrality valuative criterion local field wild ramification |
| DOI | 10.1112/S0010437X19007619 |
| 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 Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics |
| WOS记录号 | WOS:000500746100002 |
| 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/50339 |
| 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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lu, Qing,Zheng, Weizhe. Compatible systems and ramification[J]. COMPOSITIO MATHEMATICA,2019,155(12):2334-2353. |
| APA | Lu, Qing,&Zheng, Weizhe.(2019).Compatible systems and ramification.COMPOSITIO MATHEMATICA,155(12),2334-2353. |
| MLA | Lu, Qing,et al."Compatible systems and ramification".COMPOSITIO MATHEMATICA 155.12(2019):2334-2353. |
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