The dynamical and arithmetical degrees for eigensystems of rational self-maps
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Publication:2177952
DOI10.1007/s00574-019-00165-wzbMath1445.37079arXiv1707.03943OpenAlexW2968812923MaRDI QIDQ2177952
Publication date: 7 May 2020
Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.03943
Rational and birational maps (14E05) Orbit growth in dynamical systems (37C35) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30)
Related Items (2)
Counting points of bounded height in monoid orbits ⋮ Dynamical and arithmetic degrees for random iterations of maps on projective space
Cites Work
- On the dynamical and arithmetic degrees of rational self-maps of algebraic varieties
- Ergodic properties of rational mappings with large topological degree
- Rational points on K3 surfaces: A new canonical height
- Rational points on \(K3\) surfaces in \(\mathbb{P}^ 1\times\mathbb{P}^ 1\times\mathbb{P}^ 1\)
- Examples of dynamical degree equals arithmetic degree
- Canonical height functions for affine plane automorphisms
- Dynamical canonical heights for Jordan blocks, arithmetic degrees of orbits, and nef canonical heights on abelian varieties
- Canonical heights, invariant currents, and dynamical eigensystems of morphisms for line bundles
- The Arithmetic of Elliptic Curves
- Canonical Vector Heights on Algebraic K3 Surfaces with Picard Number Two
- Heights and the specialization map for families of abelian varieties.
- 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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