Six operations and Lefschetz-Verdier formula for Deligne-Mumford stacks
文献类型：期刊论文
| 作者 | Zheng Weizhe |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2015 |
| 卷号 | 58期号:3页码:565-632 |
| 关键词 | SHEAVES Deligne-Mumford stack etale cohomology six operations pseudofunctor Lefschetz-Verdier formula |
| ISSN号 | 1674-7283 |
| 其他题名 | Six operations and Lefschetz-Verdier formula for Deligne-Mumford stacks |
| 英文摘要 | Laszlo and Olsson constructed Grothendieck's six operations for constructible complexes on Artin stacks in etale cohomology under an assumption of finite cohomological dimension, with base change established on the level of sheaves. We give a more direct construction of the six operations for complexes on Deligne-Mumford stacks without the finiteness assumption and establish base change theorems in derived categories. One key tool in our construction is the theory of gluing finitely many pseudofunctors developed by Zheng (2014). As an application, we prove a Lefschetz-Verdier formula for Deligne-Mumford stacks. We include both torsion and l-adic coefficients. |
| 资助项目 | [China's Recruitment Program of Global Experts] ; [National Natural Science Foundation of China] ; [Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences] ; [National Center for Mathematics and Interdisciplinary Sciences] ; [Chinese Academy of Sciences] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:5386945 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52671]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 中国科学院数学与系统科学研究院 |
| 推荐引用方式 GB/T 7714 | Zheng Weizhe. Six operations and Lefschetz-Verdier formula for Deligne-Mumford stacks[J]. SCIENCE CHINA-MATHEMATICS,2015,58(3):565-632. |
| APA | Zheng Weizhe.(2015).Six operations and Lefschetz-Verdier formula for Deligne-Mumford stacks.SCIENCE CHINA-MATHEMATICS,58(3),565-632. |
| MLA | Zheng Weizhe."Six operations and Lefschetz-Verdier formula for Deligne-Mumford stacks".SCIENCE CHINA-MATHEMATICS 58.3(2015):565-632. |
入库方式： OAI收割
来源：数学与系统科学研究院
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