Counting intersection numbers of closed geodesics on Shimura curves

DOI10.1007/s40993-023-00428-yarXiv2104.01968OpenAlexW3141502038MaRDI QIDQ6159109

James Rickards

Publication date: 1 June 2023

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.01968

zbMATH Keywords

real quadratic fieldShimura curveclosed geodesicquaternion algebraoptimal embedding

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Arithmetic aspects of modular and Shimura varieties (11G18) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Cites Work

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• Supersingular j-invariants as singular moduli mod p
• On optimal embeddings and trees
• Computing intersections of closed geodesics on the modular curve
• Singular moduli for real quadratic fields: a rigid analytic approach
• EICHLER ORDERS, TREES AND REPRESENTATION FIELDS
• On Singular Moduli for Arbitrary Discriminants
• Quaternion Algebras

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