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Companions on Artin stacks
Zheng, Weizhe1,2,3
2019-06-01
Source PublicationMATHEMATISCHE ZEITSCHRIFT
ISSN0025-5874
Volume292Issue:1-2Pages:57-81
AbstractDeligne'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.
DOI10.1007/s00209-018-2129-7
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000467709900003
PublisherSPRINGER HEIDELBERG
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/34740
Collection数学所
Corresponding AuthorZheng, Weizhe
Affiliation1.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
Recommended Citation
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.
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