Periodic points and arithmetic degrees of certain rational self-maps
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Publication:6610110
DOI10.2969/JMSJ/89568956MaRDI QIDQ6610110
Publication date: 24 September 2024
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Rational and birational maps (14E05) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Arithmetic properties of periodic points (37P35) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30) Dynamical systems over global ground fields (37P15)
Cites Work
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- On the dynamical and arithmetic degrees of rational self-maps of algebraic varieties
- Local and global canonical height functions for affine space regular automorphisms
- Canonical heights for plane polynomial maps of small topological degree
- Dynamical Mordell-Lang conjecture for birational polynomial morphisms on \(\mathbb A^2\)
- Ergodic properties of rational mappings with large topological degree
- An upper bound for the topological entropy of a rational mapping
- A remark on dynamical degrees of automorphisms of hyperkähler manifolds
- Height bounds and preperiodic points for families of jointly regular affine maps
- Geometric and arithmetic properties of the Hénon map
- An effective Matsusaka big theorem
- Dynamics of polynomial automorphisms of \(\mathbb C^k\)
- Arithmetic degrees and dynamical degrees of endomorphisms on surfaces
- Invariant currents and dynamical Lelong numbers
- An upper bound for the height for regular affine automorphisms of \({\mathbb{A}^n}\). A height bound for regular affine automorphisms
- On the complex dynamics of birational surface maps defined over number fields
- Height gap conjectures, \(D\)-finiteness, and a weak dynamical Mordell-Lang conjecture
- Relative dynamical degrees of correspondences over a field of arbitrary characteristic
- Periodic points of birational transformations on projective surfaces
- Existence of non-preperiodic algebraic points for a rational self-map of infinite order
- Examples of dynamical degree equals arithmetic degree
- Canonical height functions for affine plane automorphisms
- Invariant sets of morphisms on projective and affine number spaces
- Periodic points on an algebraic variety
- A transcendental dynamical degree
- Surjective endomorphisms of projective surfaces: the existence of infinitely many dense orbits
- Non-density of points of small arithmetic degrees
- Dynamical canonical heights for Jordan blocks, arithmetic degrees of orbits, and nef canonical heights on abelian varieties
- The dynamical Mordell-Lang conjecture
- Regularization of currents and entropy
- The dynamical Mordell-Lang problem for etale maps
- HEIGHT BOUND AND PREPERIODIC POINTS FOR JOINTLY REGULAR FAMILIES OF RATIONAL MAPS
- Height Estimates for Equidimensional Dominant Rational Maps
- Canonical Heights on Hyper-Kähler Varieties and the Kawaguchi–Silverman Conjecture
- Sur la dynamique arithmétique des automorphismes de l’espace affine
- Sur les propriétés arithmétiques des itérés d'automorphismes réguliers
- Points périodiques des automorphismes affines.
- A rational map with infinitely many points of distinct arithmetic degrees
- The existence of Zariski dense orbits for polynomial endomorphisms of the affine plane
- Finiteness Properties of Pseudo-Hyperbolic Varieties
- Degrees of iterates of rational maps on normal projective varieties
- On upper bounds of arithmetic degrees
- On the arithmetic dynamics of monomial maps
- Dynamical degree, arithmetic entropy, and canonical heights for dominant rational self-maps of projective space
- Projective surface automorphisms of positive topological entropy from an arithmetic viewpoint
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