Computing fundamental domains for the Bruhat–Tits tree for , -adic automorphic forms, and the canonical embedding of Shimura curves

DOI10.1112/S1461157013000235zbMath1311.11045arXiv1201.0356OpenAlexW3099004942WikidataQ57090045 ScholiaQ57090045MaRDI QIDQ5170246

Cameron Franc, Marc Masdeu

Publication date: 23 July 2014

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.0356

zbMATH Keywords

Shimura curveBruhat-Tits treequaternion algebra\(p\)-adic automorphic form

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) (p)-adic theory, local fields (11F85) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (6)

Explicit Connections Between Supersingular Isogeny Graphs and Bruhat–Tits Trees ⋮ Mumford curves covering 𝑝-adic Shimura curves and their fundamental domains ⋮ Approximations of the balanced triple product \(p\)-adic \(L\)-function ⋮ An intriguing hyperelliptic Shimura curve quotient of genus 16 ⋮ On a notion of ``Galois closure for extensions of rings ⋮ A control theorem for \(p\)-adic automorphic forms and Teitelbaum's \(\mathcal{L} \)-invariant

Cites Work

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• Corrigendum: Algorithmic Enumeration of Ideal Classes for Quaternion Orders
• Equations of hyperelliptic Shimura curves
• On the non-existence of exceptional automorphisms on Shimura curves
• ON p-ADIC POINCARÉ SERIES AND SHIMURA CURVES
• Overconvergent modular symbols and $p$-adic $L$-functions

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