Modularity of special 0-cycles on toroidal compactifications of Shimura Varieties
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910403513024512 |
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| author | Bruinier, Jan Hendrik Rosu, Eugenia Zemel, Shaul |
| author_facet | Bruinier, Jan Hendrik Rosu, Eugenia Zemel, Shaul |
| contents | We consider the generating series of appropriately completed 0-dimensional special cycles on a toroidal compactification of an orthogonal or unitary Shimura variety with values in the Chow group. We prove that it is a holomorphic Siegel, respectively Hermitian, modular form |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06254 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Modularity of special 0-cycles on toroidal compactifications of Shimura Varieties Bruinier, Jan Hendrik Rosu, Eugenia Zemel, Shaul Number Theory We consider the generating series of appropriately completed 0-dimensional special cycles on a toroidal compactification of an orthogonal or unitary Shimura variety with values in the Chow group. We prove that it is a holomorphic Siegel, respectively Hermitian, modular form |
| title | Modularity of special 0-cycles on toroidal compactifications of Shimura Varieties |
| topic | Number Theory |
| url | https://arxiv.org/abs/2404.06254 |