On the Hurwitz existence problem for branched covers of the projective line
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866910191588474880 |
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| author | Ciliberto, Ciro Knutsen, Andreas Leopold Torelli, Sara |
| author_facet | Ciliberto, Ciro Knutsen, Andreas Leopold Torelli, Sara |
| contents | We give an alternative proof of the Hurwitz existence problem for branched covers of $\mathbb{P}^1$ in the case where the number of ramification points equals the number of branch points, that is, where all the ramification profiles are of the form $[e,1,\ldots,1]$ with $e \geq 2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_18782 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Hurwitz existence problem for branched covers of the projective line Ciliberto, Ciro Knutsen, Andreas Leopold Torelli, Sara Algebraic Geometry We give an alternative proof of the Hurwitz existence problem for branched covers of $\mathbb{P}^1$ in the case where the number of ramification points equals the number of branch points, that is, where all the ramification profiles are of the form $[e,1,\ldots,1]$ with $e \geq 2$. |
| title | On the Hurwitz existence problem for branched covers of the projective line |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2604.18782 |