A vanishing theorem for vector-valued Siegel automorphic forms in characteristic $p$
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866914692702666752 |
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| author | Koskivirta, Jean-Stefan |
| author_facet | Koskivirta, Jean-Stefan |
| contents | We show that the space of vector-valued Siegel automorphic forms in characteristic $p$ is zero when the weight is outside of an explicit locus. This result is a special case of a general conjecture about Hodge-type Shimura varieties formulated in previous work with W. Goldring. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_06870 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A vanishing theorem for vector-valued Siegel automorphic forms in characteristic $p$ Koskivirta, Jean-Stefan Number Theory Algebraic Geometry 11F46, 14G35, 20G40 We show that the space of vector-valued Siegel automorphic forms in characteristic $p$ is zero when the weight is outside of an explicit locus. This result is a special case of a general conjecture about Hodge-type Shimura varieties formulated in previous work with W. Goldring. |
| title | A vanishing theorem for vector-valued Siegel automorphic forms in characteristic $p$ |
| topic | Number Theory Algebraic Geometry 11F46, 14G35, 20G40 |
| url | https://arxiv.org/abs/2308.06870 |