Veech groups of flat structures on Riemann surfaces

2011/05/29 by Yoshihiko Shinomiya, Shinomiya, Yoshihiko · 1 citation
Computer Science · Engineering · Mathematics · #14H30 #20F28 #32G15 #Advanced Materials and Mechanics #Complex Variables (math.CV) #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.CV #math.GT #msc:14H30 #msc:20F28 #msc:32G15

paper · pdf · doi:10.48550/arxiv.1105.5790

20 pages; Exposition improved. New results are added

openalex publication_date 2011/05/29 · arxiv created 2011/07/12 · arxiv updated 2011/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Veech holomorphic families of Riemann surfaces, holomorphic sections, and Diophantine problems

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