中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
Compatible systems and ramification

文献类型：期刊论文

作者Lu, Qing3,4; Zheng, Weizhe1,2,5
刊名COMPOSITIO MATHEMATICA
出版日期2019-12-01
卷号155期号:12页码:2334-2353
关键词l-independence integrality valuative criterion local field wild ramification
ISSN号0010-437X
DOI10.1112/S0010437X19007619
英文摘要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.
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
语种英语
WOS记录号WOS:000500746100002
出版者CAMBRIDGE UNIV PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/50338]  
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.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
3.Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
5.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, 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.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。