Companions on Artin stacks

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	Companions on Artin stacks
	Zheng, Weizhe1,2,3
	2019-06-01
发表期刊	MATHEMATISCHE ZEITSCHRIFT
ISSN	0025-5874
卷号	292 期号:1-2 页码:57-81
摘要	Deligne's conjecture that -adic sheaves on normal schemes over a finite field admit -companions was proved by L. Lafforgue in the case of curves and by Drinfeld in the case of smooth schemes. In this paper, we extend Drinfeld's theorem to smooth Artin stacks and deduce Deligne's conjecture for coarse moduli spaces of smooth Artin stacks. We also extend related theorems on Frobenius eigenvalues and traces to Artin stacks.
DOI	10.1007/s00209-018-2129-7
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000467709900003
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34740
专题	数学所
通讯作者	Zheng, Weizhe
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab 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	Zheng, Weizhe. Companions on Artin stacks[J]. MATHEMATISCHE ZEITSCHRIFT,2019,292(1-2):57-81.
APA	Zheng, Weizhe.(2019).Companions on Artin stacks.MATHEMATISCHE ZEITSCHRIFT,292(1-2),57-81.
MLA	Zheng, Weizhe."Companions on Artin stacks".MATHEMATISCHE ZEITSCHRIFT 292.1-2(2019):57-81.