Bruinier, Jan Hendrik ; Zemel, Shaul (2024)
Special cycles on toroidal compactifications of orthogonal Shimura varieties.
In: Mathematische Annalen, 2022, 384 (1-2)
doi: 10.26083/tuprints-00023449
Article, Secondary publication, Publisher's Version
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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: | |
| 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: | 30 Apr 2024 07:12 |
| SWORD Depositor: | Deep Green |
| URI: | https://tuprints.ulb.tu-darmstadt.de/id/eprint/23449 |
| PPN: | 517332523 |
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