Translation Surfaces With Finite Veech Groups

2010/05/19 by Asaf Hadari, Hadari, Asaf
Mathematics · #Algebraic Geometry and Number Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.DS #math.GT

paper · pdf · doi:10.48550/arxiv.1005.3516

10 pages, 4 figures

arxiv created 2010/05/19 · openalex publication_date 2010/05/19 · arxiv updated 2010/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that every finite subgroup of GL₂(ℝ) can be realized as the Veech group of some translation surface.

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• Finiteness conditions on translation surfaces
• On the Ends of groups and the Veech groups of infinite-genus surfaces
• Canonical translation surfaces for computing Veech groups
• Notes on the Veech group of the Chamanara surface