A REFORMULATION OF THE DYNAMICAL MANIN–MUMFORD CONJECTURE

DOI10.1017/S0004972720000477zbMath1459.37099WikidataQ122872569 ScholiaQ122872569MaRDI QIDQ5147593

Thomas J. Tucker, Dragos Ghioca

Publication date: 27 January 2021

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

abelian varietiesdynamical Manin-Mumford conjecture

Mathematics Subject Classification ID

Arithmetic properties of periodic points (37P35) Arithmetic dynamics on general algebraic varieties (37P55)

Related Items (5)

Polynomial dynamics and local analysis of small and grand orbits ⋮ Zariski dense orbits for regular self-maps on split semiabelian varieties ⋮ Height coincidences in products of the projective line ⋮ Rational self-maps with a regular iterate on a semiabelian variety ⋮ On semigroup orbits of polynomials in multiplicative subgroups

Cites Work

• The arithmetic Hodge index theorem for adelic line bundles
• The Galois representations associated to a Drinfeld module in special characteristic. II: Openness
• Dynamical anomalous subvarieties: structure and bounded height theorems
• The dynamical Manin-Mumford problem for plane polynomial automorphisms
• The dynamical Manin-Mumford conjecture and the dynamical Bogomolov conjecture for split rational maps
• Invariant varieties for polynomial dynamical systems
• Towards a Dynamical Manin-Mumford Conjecture
• Proof of a dynamical Bogomolov conjecture for lines under polynomial actions
• The dynamical Manin–Mumford conjecture and the dynamical Bogomolov conjecture for endomorphisms of
• Canonical heights, transfinite diameters, and polynomial dynamics
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