Non-density of points of small arithmetic degrees

DOI10.1007/s12220-022-01156-yOpenAlexW3007529292MaRDI QIDQ2688200

Takahiro Shibata, Sheng Meng, Yohsuke Matsuzawa, D.-Q. Zhang

Publication date: 2 March 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.10976

zbMATH Keywords

abelian varietiesdynamical degreearithmetic degreeKawaguchi-Silverman conjectureuniform boundedness conjectures

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic combinatorics; higher degree uniformity (11B30) Arithmetic dynamics on general algebraic varieties (37P55)

Related Items (1)

Dynamical cancellation of polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the dynamical and arithmetic degrees of rational self-maps of algebraic varieties
• Comparison of dynamical degrees for semi-conjugate meromorphic maps
• Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
• On endomorphisms of projective bundles
• Endomorphisms of smooth projective 3-folds with non-negative Kodaira dimension.
• Arithmetic degrees and dynamical degrees of endomorphisms on surfaces
• Building blocks of polarized endomorphisms of normal projective varieties
• Bounds for the torsion of elliptic curves over number fields
• Arithmetic and dynamical degrees on abelian varieties
• Kawaguchi-Silverman conjecture for certain surjective endomorphisms
• Kawaguchi-Silverman conjecture for endomorphisms on rationally connected varieties admitting an int-amplified endomorphism
• Dynamical degree and arithmetic degree of endomorphisms on product varieties
• Semi-group structure of all endomorphisms of a projective variety admitting a polarized endomorphism
• Polarized endomorphisms of normal projective threefolds in arbitrary characteristic
• Polarized endomorphisms of complex normal varieties
• Relative dynamical degrees of correspondences over a field of arbitrary characteristic
• Building blocks of amplified endomorphisms of normal projective varieties
• Kawaguchi-Silverman conjecture for endomorphisms on several classes of varieties
• Characterizations of toric varieties via polarized endomorphisms
• Ample canonical heights for endomorphisms on projective varieties
• On the Medvedev-Scanlon conjecture for minimal threefolds of nonnegative Kodaira dimension
• Examples of dynamical degree equals arithmetic degree
• Endomorphisms of smooth projective 3-folds with nonnegative Kodaira dimension. II
• Dynamical canonical heights for Jordan blocks, arithmetic degrees of orbits, and nef canonical heights on abelian varieties
• Canonical Heights on Hyper-Kähler Varieties and the Kawaguchi–Silverman Conjecture
• Building blocks of étale endomorphisms of complex projective manifolds
• Degeneration of dynamical degrees in families of maps
• A Characteristic Number for Links of Surface Singularities
• Invariant Subvarieties With Small Dynamical Degree
• Arithmetic and dynamical degrees of self-morphisms of semi-abelian varieties
• On upper bounds of arithmetic degrees
• Projective surface automorphisms of positive topological entropy from an arithmetic viewpoint
• Linear Transformations with Invariant Cones
• Higher-dimensional algebraic geometry

This page was built for publication: Non-density of points of small arithmetic degrees