CLASSIFYING LOW HEIGHT GEODESICS ON $\Gamma^3 \backslash \mathcal{H}$

DOI10.1142/S1793042107001012zbMath1197.11048OpenAlexW1898547558MaRDI QIDQ5386808

Mark Sheingorn, Thomas A. Schmidt

Publication date: 14 May 2008

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042107001012

zbMATH Keywords

geodesicsmodular grouporbifoldsheightsMarkov triples

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Markov and Lagrange spectra and generalizations (11J06) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (1)

LOW HEIGHT GEODESICS ON $\Gamma^3 \backslash \mathcal{H}$: HEIGHT FORMULAS AND EXAMPLES

Cites Work

• Unnamed Item
• The geometry of Markoff numbers
• Characterization of simple closed geodesics on Fricke surfaces
• Diophantine approximation on hyperbolic Riemann surfaces
• Diophantine approximation on hyperbolic orbifolds
• On the lower Markov spectrum
• Closed curves and geodesics with two self-intersections on the punctured torus
• Approach to Markoff's minimal forms through modular functions
• Simple closed geodesics on 𝐻⁺/Γ(3) arise from the Markov spectrum
• WEIERSTRASS POINTS AND SIMPLE GEODESICS
• Parametrizing simple closed geodesy on Γ³\ℋ
• LOW HEIGHT GEODESICS ON $\Gamma^3 \backslash \mathcal{H}$: HEIGHT FORMULAS AND EXAMPLES

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