Monodromy groups of indecomposable coverings of bounded genus
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910382838251520 |
|---|---|
| author | Neftin, Danny Zieve, Michael E. |
| author_facet | Neftin, Danny Zieve, Michael E. |
| contents | For each nonnegative integer $g$, we classify the ramification types and monodromy groups of indecomposable coverings of complex curves $f: X\to Y$ where $X$ has genus $g$, under the hypothesis that $n:=°(f)$ is sufficiently large and the monodromy group is not $A_n$ or $S_n$. This proves a conjecture of Guralnick and several conjectures of Guralnick and Shareshian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17167 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Monodromy groups of indecomposable coverings of bounded genus Neftin, Danny Zieve, Michael E. Algebraic Geometry Group Theory Number Theory 11G99, 14E20, 20B15, 12F10 For each nonnegative integer $g$, we classify the ramification types and monodromy groups of indecomposable coverings of complex curves $f: X\to Y$ where $X$ has genus $g$, under the hypothesis that $n:=°(f)$ is sufficiently large and the monodromy group is not $A_n$ or $S_n$. This proves a conjecture of Guralnick and several conjectures of Guralnick and Shareshian. |
| title | Monodromy groups of indecomposable coverings of bounded genus |
| topic | Algebraic Geometry Group Theory Number Theory 11G99, 14E20, 20B15, 12F10 |
| url | https://arxiv.org/abs/2403.17167 |