Companions on Artin stacks
文献类型：期刊论文
| 作者 | Zheng, Weizhe1,2,3
|
| 刊名 | MATHEMATISCHE ZEITSCHRIFT
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000467709900003 |
| 出版者 | SPRINGER HEIDELBERG |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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