CM values of Green functions associated to special cycles on Shimura varieties with applications to Siegel 3-fold X-2(2)
文献类型：期刊论文
| 作者 | Yu, Peng |
| 刊名 | JOURNAL OF NUMBER THEORY
 |
| 出版日期 | 2019-10-01 |
| 卷号 | 203页码:155-210 |
| 关键词 | Shimura varieties Complex multiplication Siegel-Weil formula |
| ISSN号 | 0022-314X |
| DOI | 10.1016/j.jnt.2019.04.025 |
| 英文摘要 | We generalize the definition of CM cycles beyond the 'small' and 'big' CM ones studied by various authors, such as in [BY09] and [BKY12] and give a uniform formula for the CM values of Green functions associated to these special cycles in general using the idea of regularized theta lifts. Finally, as an application to Siegel 3-fold X-2(2), we can compute special values of theta functions and Rosenhain lambda-invariants at a CM cycle, which is useful for genus two curve cryptography as in [CDSLY14]. (C) 2019 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000476856600009 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/35236]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yu, Peng |
| 作者单位 | Chinese Acad Sci, Morningside Ctr Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yu, Peng. CM values of Green functions associated to special cycles on Shimura varieties with applications to Siegel 3-fold X-2(2)[J]. JOURNAL OF NUMBER THEORY,2019,203:155-210. |
| APA | Yu, Peng.(2019).CM values of Green functions associated to special cycles on Shimura varieties with applications to Siegel 3-fold X-2(2).JOURNAL OF NUMBER THEORY,203,155-210. |
| MLA | Yu, Peng."CM values of Green functions associated to special cycles on Shimura varieties with applications to Siegel 3-fold X-2(2)".JOURNAL OF NUMBER THEORY 203(2019):155-210. |
入库方式： OAI收割
来源：数学与系统科学研究院
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