Tamely Ramified Morphisms of Curves and Belyi’s Theorem in Positive Characteristic
| Autor: | Kiran S Kedlaya, Daniel Litt, Jakub Witaszek |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | International Mathematics Research Notices. 2023:2803-2833 |
| ISSN: | 1687-0247 1073-7928 |
| DOI: | 10.1093/imrn/rnab309 |
| Popis: | We show that every smooth projective curve over a finite field $k$ admits a finite tame morphism to the projective line over $k$. Furthermore, we construct a curve with no such map when $k$ is an infinite perfect field of characteristic two. Our work leads to a refinement of the tame Belyi theorem in positive characteristic, building on results of Saïdi, Sugiyama–Yasuda, and Anbar–Tutdere. |
| Databáze: | OpenAIRE |
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