Compatible systems and ramification

doi:10.1112/S0010437X19007619

	Compatible systems and ramification
	Lu, Qing 2,3; Zheng, Weizhe 1,4,5
刊名	COMPOSITIO MATHEMATICA
	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
DOI	10.1112/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
出版者	CAMBRIDGE UNIV PRESS
WOS记录号	WOS:000500746100002
内容类型	期刊论文
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.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 2.Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr 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.