English

On cyclic covers of the projective line

Algebraic Geometry 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0604100,
  title  = {On cyclic covers of the projective line},
  author = {Antoniadis Jannis and Kontogeorgis Aristides},
  journal= {arXiv preprint arXiv:math/0604100},
  year   = {2007}
}

Comments

20 pages

R2 v1 2026-07-22T17:33:59.065Z