Genus 2 Belyĭ surfaces with a unicellular uniform dessin

DOI10.1007/s10711-011-9579-yzbMath1251.30042OpenAlexW1984299398MaRDI QIDQ715261

Ernesto Girondo, David Torres-Teigell

Publication date: 2 November 2012

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

Full work available at URL: https://doi.org/10.1007/s10711-011-9579-y

zbMATH Keywords

Riemann surfacesdessins d'enfantBelyĭ surfacesgenus \(2\)

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Arithmetic algebraic geometry (Diophantine geometry) (11G99) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Shimura curves with many uniform dessins
• Extremal disks and modular surfaces
• The Riemann surface of a uniform dessin
• Genus of two extremal surfaces: Extremal discs, isometries and Weierstrass points
• Conjugators of Fuchsian groups and quasiplatonic surfaces
• GENUS 2 SEMI-REGULAR COVERINGS WITH LIFTING SYMMETRIES
• The Geometry of the Hyperelliptic Involution in Genus Two
• Belyi functions of dessins d'enfants of genus 2 with 4 edges
• Moduli for Special Riemann Surfaces of Genus 2

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