Turning non-smooth points into rational points
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914620967485440 |
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| author | Hilario, Cesar |
| author_facet | Hilario, Cesar |
| contents | In a recent paper, the author and Stöhr established a bound on the number of iterated Frobenius pullbacks needed to transform a non-smooth purely inseparable point on a regular geometrically integral curve into a rational point. In this paper we improve this result, by establishing a new bound that is sharp in every characteristic $p>0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14969 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Turning non-smooth points into rational points Hilario, Cesar Algebraic Geometry Number Theory 14G05, 14G17, 14H05, 14H45 In a recent paper, the author and Stöhr established a bound on the number of iterated Frobenius pullbacks needed to transform a non-smooth purely inseparable point on a regular geometrically integral curve into a rational point. In this paper we improve this result, by establishing a new bound that is sharp in every characteristic $p>0$. |
| title | Turning non-smooth points into rational points |
| topic | Algebraic Geometry Number Theory 14G05, 14G17, 14H05, 14H45 |
| url | https://arxiv.org/abs/2402.14969 |