Kudla's modularity conjecture on integral models of orthogonal Shimura varieties
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866914125125255168 |
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| author | Howard, Benjamin Madapusi, Keerthi |
| author_facet | Howard, Benjamin Madapusi, Keerthi |
| contents | We construct a family of special cycle classes on the regular integral model of an orthogonal Shimura variety, and show that these cycle classes appear as Fourier coefficients of a Siegel modular form. Passing to the generic fiber of the Shimura variety recovers a result of Bruinier and Raum, originally conjectured by Kudla. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_05108 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Kudla's modularity conjecture on integral models of orthogonal Shimura varieties Howard, Benjamin Madapusi, Keerthi Number Theory Algebraic Geometry 11G18 (Primary) 14G35, 11F46 (Secondary) We construct a family of special cycle classes on the regular integral model of an orthogonal Shimura variety, and show that these cycle classes appear as Fourier coefficients of a Siegel modular form. Passing to the generic fiber of the Shimura variety recovers a result of Bruinier and Raum, originally conjectured by Kudla. |
| title | Kudla's modularity conjecture on integral models of orthogonal Shimura varieties |
| topic | Number Theory Algebraic Geometry 11G18 (Primary) 14G35, 11F46 (Secondary) |
| url | https://arxiv.org/abs/2211.05108 |