On cyclic covers of the projective line

2006/04/05 by Antoniadis Jannis, Jannis, Antoniadis, Kontogeorgis Aristides +1
Mathematics · #14Dxx #14H37 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.math/0604100

openalex publication_date 2006/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct configuration spaces for cyclic covers of the projective line that admit extra automorphisms and we describe the locus of curves with given automorphism group. As an application we provide examples of arbitrary high genus that are defined over their field of moduli and are not hyperelliptic.

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