Composition laws on the Fricke surface and Markov triples

DOI10.55730/1300-0098.3123zbMath1505.14069arXiv2207.02627OpenAlexW4285127204MaRDI QIDQ5102127

A. Muhammed Uludağ, Esra Ünal Yilmaz

Publication date: 6 September 2022

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.02627

zbMATH Keywords

Markov equationFrobenius conjectureFricke surfaceMarkov triplesgroup law on quadrics

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Algebraic number theory computations (11Y40) Surfaces and higher-dimensional varieties (14J99) Computational aspects in algebraic geometry (14Q99) The Frobenius problem (11D07)

Cites Work

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• Dedekind sums and generalizations of the Markov Diophantine equation
• Markov's Theorem and 100 Years of the Uniqueness Conjecture
• Representation of Markoff's binary quadratic forms by geodesics on a perforated torus

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