Shimura curves with many uniform dessins

DOI10.1007/s00209-011-0889-4zbMath1405.14082OpenAlexW1990563275MaRDI QIDQ444179

Ernesto Girondo, David Torres-Teigell, Wolfart, Jürgen

Publication date: 13 August 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-011-0889-4

zbMATH Keywords

uniformizationShimura curvesFuchsian groupscongruence subgroupsDessins d'enfantsSerre-Bruhat-Tits trees

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Modular and Shimura varieties (14G35) Homotopy theory and fundamental groups in algebraic geometry (14F35) Automorphisms of curves (14H37) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Dessins d'enfants theory (14H57)

Related Items

The structure of mirrors on regular maps on platonic surfaces ⋮ Extremal disc packings in compact hyperbolic surfaces ⋮ Hypermaps and multiply quasiplatonic Riemann surfaces ⋮ Genus 2 Belyĭ surfaces with a unicellular uniform dessin ⋮ Decreasing height along continued fractions

Cites Work

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• The Riemann surface of a uniform dessin
• Field of definition and Galois orbits for the Macbeath-Hurwitz curves
• Genus of two extremal surfaces: Extremal discs, isometries and Weierstrass points
• Conjugators of Fuchsian groups and quasiplatonic surfaces
• VARIATIONS ON BELYI'S THEOREM
• Multiply Quasiplatonic Riemann Surfaces
• Belyi Uniformization of Elliptic Curves
• Subgroups of Fuchsian Groups and Finite Permutation Groups
• Finitely Maximal Fuchsian Groups