English

Free dihedral actions on Abelian varieties

Algebraic Geometry 2020-08-31 v1

Abstract

We give a simple construction for hyperelliptic varieties defined as the quotient of a complex torus by the action of a dihedral group that contains no translations and fixes no points. This generalizes a construction given by Catanese and Demleitner for D4D_4 in dimension three.

Keywords

Cite

@article{arxiv.2008.12634,
  title  = {Free dihedral actions on Abelian varieties},
  author = {Bruno Aguiló Vidal},
  journal= {arXiv preprint arXiv:2008.12634},
  year   = {2020}
}
R2 v1 2026-06-23T18:09:54.158Z