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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
Source PublicationJOURNAL OF NUMBER THEORY
ISSN0022-314X
Volume203Pages:155-210
AbstractWe 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.
KeywordShimura varieties Complex multiplication Siegel-Weil formula
DOI10.1016/j.jnt.2019.04.025
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000476856600009
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/35237
Collection中国科学院数学与系统科学研究院
Corresponding AuthorYu, Peng
AffiliationChinese Acad Sci, Morningside Ctr Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
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.
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