English

Veech groups of flat structures on Riemann surfaces

Geometric Topology 2011-07-13 v3 Complex Variables

Abstract

In this paper, we construct new examples of Veech groups by extending Schmithusen's method for calculating Veech groups of origamis to Veech groups of unramified finite coverings of regular 2n-gons. We calculate the Veech groups of certain Abelian coverings of regular 2n-gons by using an algebraic method.

Keywords

Cite

@article{arxiv.1105.5790,
  title  = {Veech groups of flat structures on Riemann surfaces},
  author = {Yoshihiko Shinomiya},
  journal= {arXiv preprint arXiv:1105.5790},
  year   = {2011}
}

Comments

20 pages; Exposition improved. New results are added

R2 v1 2026-06-21T18:14:11.958Z