Special cycles on toroidal compactifications of orthogonal Shimura varieties

被引：0
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作者：
Jan Hendrik Bruinier
Shaul Zemel
机构：
[1] Technische Universität Darmstadt,Fachbereich Mathematik
[2] the Hebrew University of Jerusalem,Einstein Institute of Mathematics
来源：
Mathematische Annalen | 2022年 / 384卷
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摘要：
We determine the behavior of automorphic Green functions along the boundary components of toroidal compactifications of orthogonal Shimura varieties. We use this analysis to define boundary components of special divisors and prove that the generating series of the resulting special divisors on a toroidal compactification is modular.
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页码：1 / 63
页数：62
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