Special cycles on toroidal compactifications of orthogonal Shimura varieties

Jan Hendrik Bruinier*, Shaul Zemel

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 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 languageAmerican English
Pages (from-to)1-63
Number of pages63
JournalMathematische Annalen
Volume384
Issue number1-2
DOIs
StatePublished - Oct 2022

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© 2021, The Author(s).

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