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Monodromy groups of indecomposable coverings of bounded genus
- Publication Year :
- 2024
-
Abstract
- 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 $n:=\deg(f)$ 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.
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2403.17167
- Document Type :
- Working Paper