On the areas of the minimal triangles in Veech surfaces

DOI10.1007/s10473-020-0213-7zbMath1499.30318OpenAlexW3017261825MaRDI QIDQ2153151

Yumin Zhong

Publication date: 1 July 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-020-0213-7

zbMATH Keywords

Veech surfacesminimal trianglesnon-arithmetic

Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Differentials on Riemann surfaces (30F30)

Related Items (1)

Lattice surfaces and smallest triangles

Cites Work

• Unnamed Item
• Fundamental domains and generators for lattice Veech groups
• Lattice surfaces and smallest triangles
• Characterizations of lattice surfaces
• Ergodicity of billiard flows and quadratic differentials
• Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards
• Topological transitivity of billiards in polygons
• Affine mappings of translation surfaces: Geometry and arithmetic
• Teichmüller curves in genus two: Discriminant and spin
• Planar structures and billiards in rational polygons: the Veech alternative
• Billiards and Teichmüller curves on Hilbert modular surfaces
• Affine diffeomorphisms of translation surfaces: Periodic points, Fuchsian groups, and arithmeticity
• Invariants of translation surfaces

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