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Topological types of actions on curves

Authors :
Conti, Diego
Ghigi, Alessandro
Pignatelli, Roberto
Source :
J. Symbolic Comput. 118 (2023), pp. 17-31
Publication Year :
2022

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 $C/G \cong \mathbb{P}^1$.<br />Comment: v2: corrected definition of Hurwitz equivalence using the braid group

Details

Database :
arXiv
Journal :
J. Symbolic Comput. 118 (2023), pp. 17-31
Publication Type :
Report
Accession number :
edsarx.2207.00981
Document Type :
Working Paper
Full Text :
https://doi.org/10.1016/j.jsc.2023.01.002