1. Topological types of actions on curves
- Author
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Diego Conti, Alessandro Ghigi, and Roberto Pignatelli
- Subjects
Mathematics - Algebraic Geometry ,Computational Mathematics ,Algebra and Number Theory ,Mathematics::Complex Variables ,FOS: Mathematics ,Algebraic Geometry (math.AG) ,14H37 (Primary) 14Q05, 57M60, 14H15, 14J10 (Secondary) - 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 $g \geq 2$ with $C/G \cong \mathbb{P}^1$., v2: corrected definition of Hurwitz equivalence using the braid group
- Published
- 2023
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