Special cycles on toroidal compactifications of orthogonal Shimura varieties

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Item Type:	Article
Type of entry:	Secondary publication
Title:	Special cycles on toroidal compactifications of orthogonal Shimura varieties
Language:	English
Date:	18 March 2024
Place of Publication:	Darmstadt
Year of primary publication:	October 2022
Place of primary publication:	Berlin ; Heidelberg
Publisher:	Springer
Journal or Publication Title:	Mathematische Annalen
Volume of the journal:	384
Issue Number:	1-2
DOI:	10.26083/tuprints-00023449
Corresponding Links:	Publisher-DOI
Origin:	Secondary publication DeepGreen
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.
Uncontrolled Keywords:	Mathematics, general
Status:	Publisher's Version
URN:	urn:nbn:de:tuda-tuprints-234491
Classification DDC:	500 Science and mathematics > 510 Mathematics
Divisions:	04 Department of Mathematics > Algebra > Automorphic Forms, Number Theory, Algebraic Geometry
Date Deposited:	18 Mar 2024 13:51
Last Modified:	18 Mar 2024 13:52
SWORD Depositor:	Deep Green
URI:	https://tuprints.ulb.tu-darmstadt.de/id/eprint/23449
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