Rigidity and unlikely intersections for formal groups

DOI10.4064/aa190523-5-12OpenAlexW3023007747MaRDI QIDQ3298889

Laurent Berger

Publication date: 16 July 2020

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.05824

zbMATH Keywords

rigidityformal groupsunlikely intersectionspreperiodic points\(p\)-adic dynamical systems

Mathematics Subject Classification ID

Galois representations (11F80) Class field theory; (p)-adic formal groups (11S31) Power series rings (13J05) Non-Archimedean dynamical systems (11S82) Arithmetic properties of periodic points (37P35)

Related Items (2)

Rigidity and unlikely intersection for stable \(p\)-adic dynamical systems ⋮ Unlikely intersections on the \(p\)-adic formal ball

Cites Work

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• Preperiodic points and unlikely intersections
• A rigidity result for \(p\)-divisible formal groups
• Formal complex multiplication in local fields
• One-parameter formal Lie groups over p-adic integer rings
• Finite subgroups and isogenies of one-parameter formal Lie groups
• Lie algebras of Galois groups arising from Hodge-Tate modules
• A problem of Julia sets
• The Polynomials Associated with a Julia Set
• An infinitesimal p-adic multiplicative Manin–Mumford Conjecture
• Torsion of elliptic curves and unlikely intersections

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