An approach for computing families of multi-branch-point covers and applications for symplectic Galois groups

DOI10.1016/j.jsc.2019.10.004zbMath1451.14097arXiv1803.08778OpenAlexW2795161756WikidataQ127018562 ScholiaQ127018562MaRDI QIDQ2188991

Joachim König, Andreas Wenz, Dominik Barth

Publication date: 15 June 2020

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.08778

zbMATH Keywords

Galois theoryBelyi mapsHurwitz spacesexplicit computation

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Coverings of curves, fundamental group (14H30) Computational aspects of algebraic curves (14Q05) Dessins d'enfants theory (14H57)

Related Items (1)

On Elkies' method for bounding the transitivity degree of Galois groups

Uses Software

• Magma
• Matlab
• Schwarz-Christoffel
• SC Toolbox

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The inverse Galois problem and rational points on moduli spaces
• Nonrigid constructions in Galois theory
• The Magma algebra system. I: The user language
• Study and computation of a Hurwitz space and totally real \(\text{PSL}_2(\mathbb F_8)\)-extensions of \(\mathbb Q\)
• Numerical calculation of three-point branched covers of the projective line
• Computation of Hurwitz spaces and new explicit polynomials for almost simple Galois groups
• Algorithm 756: a MATLAB toolbox for Schwarz-Christoffel mapping
• Hurwitz-Belyi Maps
• Inverse Galois Theory
• On computing Belyi maps
• Convergence of a Variant of the Zipper Algorithm for Conformal Mapping
• Multi-parameter polynomials with given Galois group

This page was built for publication: An approach for computing families of multi-branch-point covers and applications for symplectic Galois groups