A comb of origami curves in the moduli space \(M_{3}\) with three dimensional closure

DOI10.1007/s10711-007-9141-0zbMath1119.14024arXivmath/0703205OpenAlexW1984343291MaRDI QIDQ2642683

Gabriela Weitze-Schmithüsen, Frank Herrlich

Publication date: 17 August 2007

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703205

zbMATH Keywords

Veech groupsHurwitz spacesTeichmüller curves

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Coverings of curves, fundamental group (14H30) (G)-structures (53C10)

Related Items (2)

Totally non-congruence Veech groups ⋮ Normal origamis of Mumford curves

Cites Work

• Shimura and Teichmüller curves
• Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards
• Affine mappings of translation surfaces: Geometry and arithmetic
• EXPLICIT GEOMETRY ON A FAMILY OF CURVES OF GENUS 3
• An Algorithm for Finding the Veech Group of an Origami
• ON ARITHMETIC CURVES IN THE MODULI SPACES OF CURVES
• An extraordinary origami curve
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