SINGULAR DIRECTIONS IN VEECH SURFACES

DOI10.1017/s0004972722000892OpenAlexW4296200676WikidataQ114117672 ScholiaQ114117672MaRDI QIDQ6135506

Yan Huang

Publication date: 25 August 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972722000892

zbMATH Keywords

saddle connectionsingular numberVeech surface

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Teichmüller theory for Riemann surfaces (30F60) Differentials on Riemann surfaces (30F30)

Cites Work

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• Hausdorff dimension of singular vectors
• Dichotomy for the Hausdorff dimension of the set of nonergodic directions
• Hausdorff dimension of the set of singular pairs
• Veech surfaces with nonperiodic directions in the trace field
• Characterizations of lattice surfaces
• Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards
• Diophantine approximation
• Affine mappings of translation surfaces: Geometry and arithmetic
• Continued fractions on the Veech surfaces
• Planar structures and billiards in rational polygons: the Veech alternative
• Billiards and Teichmüller curves on Hilbert modular surfaces
• Slowly divergent geodesics in moduli space
• Diophantine approximation on Veech surfaces

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