Special cycles on toroidal compactifications of orthogonal Shimura varieties

Jan Hendrik Bruinier, Shaul Zemel

Type: Article

Publication Date: 2021-10-13

Citations: 10

DOI: https://doi.org/10.1007/s00208-021-02271-x

Abstract

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.

Locations

Mathematische Annalen - View - PDF

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