Canonical heights for Hénon maps

DOI10.1112/plms/pdt026zbMath1323.37059arXiv1111.3609OpenAlexW2012950506MaRDI QIDQ5411926

Patrick Ingram

Publication date: 25 April 2014

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.3609

zbMATH Keywords

periodic pointsHénon mapsspecialization theoremcanonical heights

Mathematics Subject Classification ID

Heights (11G50) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30) Dynamical systems over global ground fields (37P15)

Related Items (8)

Canonical heights for correspondences ⋮ Regular polynomial automorphisms in the space of planar quadratic rational maps ⋮ The dynamical Manin-Mumford problem for plane polynomial automorphisms ⋮ The geometric dynamical Northcott property for regular polynomial automorphisms of the affine plane ⋮ GIT stability of Hénon maps ⋮ Primitive divisors, dynamical Zsigmondy sets, and Vojta's conjecture ⋮ Non-Archimedean Hénon maps, attractors, and horseshoes ⋮ On the spectra of certain matrices and the iteration of quadratic maps

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