Répartition galoisienne ultramétrique d’une classe d’isogénie de courbes elliptiques : Le cas de la mauvaise réduction. Application aux hauteurs locales.

DOI10.5802/jtnb.1013zbMath1450.11054OpenAlexW2805913176MaRDI QIDQ4614328

Rodolphe Richard

Publication date: 31 January 2019

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/jtnb.1013

zbMATH Keywords

equidistributionDirichlet seriesmodular curveisogeny classBerkovich spaceHecke orbitslocal heightasymptotic heightGalois orbit

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Zeta functions and (L)-functions (11S40) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Modular correspondences, etc. (11F32) Dynamical systems on Berkovich spaces (37P50)

Related Items (4)

André-Oort type arithmetic brush problems ⋮ A two‐dimensional arithmetic André–Oort problem ⋮ \(p\)-adic distribution of CM points and Hecke orbits. I: Convergence towards the Gauss point ⋮ \(p\)-adic equidistribution of CM points

Cites Work

• Hyperbolic Galois distribution of an isogeny class of elliptic curves
• Hyperbolic distribution problems and half-integral weight Maass forms
• Variation of the Faltings height in a \(\overline{\mathbb{Q}}\)-isogeny class of elliptic curves
• Galois properties of points of finite order of elliptic curves
• RÉPARTITION GALOISIENNE D'UNE CLASSE D'ISOGÉNIE DE COURBES ELLIPTIQUES
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