Cyclic hyperbolic Veech groups in finite area

2017/06/20 by Anna Lenzhen, Lenzhen, Anna, Juan Souto +1
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1706.06290

openalex publication_date 2017/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that there are finite area flat surfaces whose Veech group is an infinite cyclic group consisting of hyperbolic elements

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• Finiteness results for flat surfaces: large cusps and short geodesics
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