Companions on Artin stacks

	Companions on Artin stacks
	Zheng, Weizhe1,2,3
刊名	MATHEMATISCHE ZEITSCHRIFT
	2019-06-01
卷号	292 期号:1-2 页码:57-81
ISSN号	0025-5874
DOI	10.1007/s00209-018-2129-7
英文摘要	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.
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000467709900003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/34739]
专题	数学所
通讯作者	Zheng, Weizhe
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.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, 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.