Notes on the Veech group of the Chamanara surface

2016/12/20 by Frank Herrlich, Herrlich, Frank, Anja Randecker +1 · 1 citation
Mathematics · #30F35 #53C10 #Algebraic Geometry and Number Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1612.06877

openalex publication_date 2016/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

These notes discuss an infinite translation surface, introduced by Chamanara. We review his proof that the Veech group is a non-elementary Fuchsian group of the second kind which is generated by two parabolic elements.

Cited by

• Obtaining the Chamanara Surface from the van der Corput sequence

Related

• Veech groups of covers of the Chamanara surface
• Translation Surfaces With Finite Veech Groups
• Canonical translation surfaces for computing Veech groups
• Veech groups without parabolic elements
• Totally non congruence Veech groups