Artin-Schreier-Witt Theory for Stacky Curves
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914044984688640 |
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| author | Kobin, Andrew |
| author_facet | Kobin, Andrew |
| contents | We extend our previous classification of stacky curves in positive characteristic using higher ramification data and Artin-Schreier-Witt theory. The main new technical tool introduced is the Artin-Schreier-Witt root stack, a generalization of root stacks to the wildly ramified setting. We then apply our wild Riemann-Hurwitz theorem for stacks to compute the canonical rings of some wild stacky curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_09161 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Artin-Schreier-Witt Theory for Stacky Curves Kobin, Andrew Algebraic Geometry Number Theory 14D23, 14Q05, 11S15 We extend our previous classification of stacky curves in positive characteristic using higher ramification data and Artin-Schreier-Witt theory. The main new technical tool introduced is the Artin-Schreier-Witt root stack, a generalization of root stacks to the wildly ramified setting. We then apply our wild Riemann-Hurwitz theorem for stacks to compute the canonical rings of some wild stacky curves. |
| title | Artin-Schreier-Witt Theory for Stacky Curves |
| topic | Algebraic Geometry Number Theory 14D23, 14Q05, 11S15 |
| url | https://arxiv.org/abs/2310.09161 |