Monodromy groups of product type
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911813138907136 |
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| author | Neftin, Danny Zieve, Michael E. |
| author_facet | Neftin, Danny Zieve, Michael E. |
| contents | The combination of this paper and its companion complete the classification of monodromy groups of indecomposable coverings of complex curves $f:X\rightarrow \mathbb P^1$ of sufficiently large degree in comparison to the genus of $X$. In this paper we determine all such coverings with monodromy group $G\leq S_\ell\wr S_t$ of product type for $t\ge 2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17168 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Monodromy groups of product type Neftin, Danny Zieve, Michael E. Algebraic Geometry Group Theory Number Theory 11G99, 14E20, 20B15, 12F10 The combination of this paper and its companion complete the classification of monodromy groups of indecomposable coverings of complex curves $f:X\rightarrow \mathbb P^1$ of sufficiently large degree in comparison to the genus of $X$. In this paper we determine all such coverings with monodromy group $G\leq S_\ell\wr S_t$ of product type for $t\ge 2$. |
| title | Monodromy groups of product type |
| topic | Algebraic Geometry Group Theory Number Theory 11G99, 14E20, 20B15, 12F10 |
| url | https://arxiv.org/abs/2403.17168 |