Special cycles on toroidal compactifications of orthogonal Shimura varieties

Jan Hendrik Bruinier; Shaul Zemel

doi:10.1007/s00208-021-02271-x

Special cycles on toroidal compactifications of orthogonal Shimura varieties

Jan Hendrik Bruinier^*
, Shaul Zemel

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1-63
Number of pages	63
Journal	Mathematische Annalen
Volume	384
Issue number	1-2
DOIs	https://doi.org/10.1007/s00208-021-02271-x
State	Published - Oct 2022

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© 2021, The Author(s).

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abstract = "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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AB - 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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Special cycles on toroidal compactifications of orthogonal Shimura varieties

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