CM values of Green functions associated to special cycles on Shimura varieties with applications to Siegel 3-fold X-2(2)

doi:10.1016/j.jnt.2019.04.025

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	CM values of Green functions associated to special cycles on Shimura varieties with applications to Siegel 3-fold X-2(2)
	Yu, Peng
	2019-10-01
发表期刊	JOURNAL OF NUMBER THEORY
ISSN	0022-314X
卷号	203 页码:155-210
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.
关键词	Shimura varieties Complex multiplication Siegel-Weil formula
DOI	10.1016/j.jnt.2019.04.025
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000476856600009
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35237
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.