TY - JOUR
T1 - Special cycles on toroidal compactifications of orthogonal Shimura varieties
AU - Bruinier, Jan Hendrik
AU - Zemel, Shaul
N1 - Publisher Copyright:
© 2021, The Author(s).
PY - 2022/10
Y1 - 2022/10
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=85117286839&partnerID=8YFLogxK
U2 - 10.1007/s00208-021-02271-x
DO - 10.1007/s00208-021-02271-x
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:85117286839
SN - 0025-5831
VL - 384
SP - 1
EP - 63
JO - Mathematische Annalen
JF - Mathematische Annalen
IS - 1-2
ER -