Saved in:
Bibliographic Details
Main Authors: Gerhardt, Spencer, McKemmie, Eilidh, Neftin, Danny
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2501.15538
Tags: Add Tag
No Tags, Be the first to tag this record!
Table of Contents:
  • Let $X$ be a Riemann surface, and let $f:X\to\mathbb{P}^1_\mathbb{C}$ be an indecomposable (branched) covering of genus $g$ and degree $n$ whose monodromy group has more than one minimal normal subgroup. Closing a gap in the literature, we show that there is only one such covering when $g\leq 1$. Moreover, for arbitrary $g$, there are no such coverings with $n\gg_g 0$ sufficiently large.