Topological types of actions on curves

Abstract

We describe an algorithm that constructs a list of all topological types of holomorphic actions of a finite group on a compact Riemann surface $C$ of genus at least $g\ge 2$ with $C/G\cong {\mathbb{P}}^1$.

v2: corrected definition of Hurwitz equivalence using the braid group

References in corpus (1)

• Smooth covers of moduli stacks of Riemann surfaces with symmetry

Cited by in corpus (1)

• On non-normal subvarieties of the moduli space of Riemann surfaces