A new theta cycle for $GSp_4$ and an Edixhoven type theorem
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908467689684992 |
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| author | Yamauchi, Takuya |
| author_facet | Yamauchi, Takuya |
| contents | In this paper, we investigate a new theta cycle for $GSp_4/\mathbb{Q}$ by using author's theta operators defined in the previous work. In the course of the construction, we also modify the theta operators so that they work in any characteristic, including $p = 2$, and for any weight. As an application, we discuss an Edixhoven type theorem for $GSp_4/\mathbb{Q}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_06325 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A new theta cycle for $GSp_4$ and an Edixhoven type theorem Yamauchi, Takuya Number Theory Algebraic Geometry In this paper, we investigate a new theta cycle for $GSp_4/\mathbb{Q}$ by using author's theta operators defined in the previous work. In the course of the construction, we also modify the theta operators so that they work in any characteristic, including $p = 2$, and for any weight. As an application, we discuss an Edixhoven type theorem for $GSp_4/\mathbb{Q}$. |
| title | A new theta cycle for $GSp_4$ and an Edixhoven type theorem |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2203.06325 |