Moduli of finite flat torsors over nodal curves
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913913121013760 |
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| author | Mehidi, Sara Poiret, Thibault |
| author_facet | Mehidi, Sara Poiret, Thibault |
| contents | We show that log flat torsors over a family $X/S$ of nodal curves under a finite flat commutative group scheme $G/S$ are classified by maps from the Cartier dual of $G$ to the log Jacobian of $X$. We deduce that fppf torsors on the smooth fibres of $X/S$ can be extended to global log flat torsors under some regularity hypotheses. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_10924 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Moduli of finite flat torsors over nodal curves Mehidi, Sara Poiret, Thibault Algebraic Geometry 14A21, 14F20, 14H40, 14L15, 14H30 We show that log flat torsors over a family $X/S$ of nodal curves under a finite flat commutative group scheme $G/S$ are classified by maps from the Cartier dual of $G$ to the log Jacobian of $X$. We deduce that fppf torsors on the smooth fibres of $X/S$ can be extended to global log flat torsors under some regularity hypotheses. |
| title | Moduli of finite flat torsors over nodal curves |
| topic | Algebraic Geometry 14A21, 14F20, 14H40, 14L15, 14H30 |
| url | https://arxiv.org/abs/2407.10924 |