Regular models of modular curves in prime level over ${\mathbb Z}_p^{\mathrm{ur}}$
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866917735617789952 |
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| author | Edixhoven, Bas Parent, Pierre |
| author_facet | Edixhoven, Bas Parent, Pierre |
| contents | We give regular models for modular curves associated with (normalizer of) split and non-split Cartan subgroups of ${\mathrm{GL}}_2 ({\mathbb F}_p )$ (for $p$ any prime, $p\ge 5$). We then compute the group of connected components of the fiber at $p$ of the Néron model of their Jacobians. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_01690 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Regular models of modular curves in prime level over ${\mathbb Z}_p^{\mathrm{ur}}$ Edixhoven, Bas Parent, Pierre Number Theory Algebraic Geometry 11G18 (primary), 11G20, 14G35 (secondary) We give regular models for modular curves associated with (normalizer of) split and non-split Cartan subgroups of ${\mathrm{GL}}_2 ({\mathbb F}_p )$ (for $p$ any prime, $p\ge 5$). We then compute the group of connected components of the fiber at $p$ of the Néron model of their Jacobians. |
| title | Regular models of modular curves in prime level over ${\mathbb Z}_p^{\mathrm{ur}}$ |
| topic | Number Theory Algebraic Geometry 11G18 (primary), 11G20, 14G35 (secondary) |
| url | https://arxiv.org/abs/2211.01690 |