On the \(p\)-adic distribution of torsion values for a section of an abelian scheme

DOI10.4171/RLM/891zbMath1451.14133arXiv1908.09050MaRDI QIDQ2192699

Umberto Zannier, Brian Lawrence

Publication date: 17 August 2020

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.09050

zbMATH Keywords

abelian varietiestorsion points\(p\)-adic fields

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Arithmetic ground fields for abelian varieties (14K15)

Related Items (3)

Diophantine approximations. Abstracts from the workshop held April 17--23, 2022 ⋮ Finiteness theorems on elliptical billiards and a variant of the dynamical Mordell–Lang conjecture ⋮ On the torsion values for sections of an elliptic scheme

Cites Work

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• The Betti map associated to a section of an abelian scheme
• Effective computation of Chebyshev polynomials for several intervals
• Variation of canonical height and equidistribution

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