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arXiv · 2204.07817

A topological construction of families of Galois covers of the line

Alessandro Ghigi·Carolina Tamborini
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Abstract

We describe a new construction of families of Galois coverings of the line using basic properties of configuration spaces, covering theory, and the Grauert-Remmert Extension Theorem. Our construction provides an alternative to a previous construction due to Gonz\'alez-D\'{i}ez and Harvey (which uses Teichm\"uller theory and Fuchsian groups) and, in the case the Galois group is non-abelian, corrects an inaccuracy therein.

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Alessandro Ghigi, Carolina Tamborini. 2022-04-16. A topological construction of families of Galois covers of the line. https://doi.org/10.2140/agt.2024.24.1569

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