Canonical height functions for affine plane automorphisms
From MaRDI portal
Publication:2494341
DOI10.1007/s00208-006-0750-yzbMath1101.11019OpenAlexW2036909254MaRDI QIDQ2494341
Publication date: 26 June 2006
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-006-0750-y
Heights (11G50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)
Related Items
Regular polynomial automorphisms in the space of planar quadratic rational maps ⋮ The dynamical and arithmetical degrees for eigensystems of rational self-maps ⋮ The dynamical Manin-Mumford problem for plane polynomial automorphisms ⋮ An upper bound for the height for regular affine automorphisms of \({\mathbb{A}^n}\). A height bound for regular affine automorphisms ⋮ The geometric dynamical Northcott property for regular polynomial automorphisms of the affine plane ⋮ GIT stability of Hénon maps ⋮ The equidistribution of small points for strongly regular pairs of polynomial maps ⋮ Unnamed Item ⋮ On the complex dynamics of birational surface maps defined over number fields ⋮ Dynamical degree, arithmetic entropy, and canonical heights for dominant rational self-maps of projective space ⋮ Ample canonical heights for endomorphisms on projective varieties ⋮ Canonical heights and monomial maps: on effective lower bounds for points with dense orbit ⋮ CANONICAL HEIGHT FUNCTIONS FOR MONOMIAL MAPS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rational points on K3 surfaces: A new canonical height
- On the degree of iterates of automorphisms of the affine plane
- Geometric and arithmetic properties of the Hénon map
- A compactification of Hénon mappings in \({\mathbb{C}}^2\) as dynamical systems
- Canonical heights, invariant currents, and dynamical eigensystems of morphisms for line bundles
- Dynamical properties of plane polynomial automorphisms
- Sur la dynamique arithmétique des automorphismes de l’espace affine
- Points périodiques des automorphismes affines.
- Über ganze birationale Transformationen der Ebene.