Remarks on algebraic dynamics in positive characteristic

DOI10.1515/crelle-2022-0093OpenAlexW3178618737MaRDI QIDQ2691795

Yanyan Li

Publication date: 30 March 2023

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.03559

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Algebraic geometry (14-XX)

Related Items (1)

Zariski dense orbits for regular self-maps of split semiabelian varieties in positive characteristic

Cites Work

• On the dynamical and arithmetic degrees of rational self-maps of algebraic varieties
• Algebraic versus topological entropy for surfaces over finite fields
• Dynamical Mordell-Lang conjecture for birational polynomial morphisms on \(\mathbb A^2\)
• Measures and dynamics on Noetherian spaces
• Equidistribution of preimages over nonarchimedean fields for maps of good reduction
• Ergodic properties of rational mappings with large topological degree
• An upper bound for the topological entropy of a rational mapping
• Meromorphic fibrations on certain manifolds with trivial canonical bundle
• Periodic points, linearizing maps, and the dynamical Mordell-Lang problem
• Volume growth and entropy
• Desingularization of two-dimensional schemes
• Étale cohomology for non-Archimedean analytic spaces
• Arithmetic degrees and dynamical degrees of endomorphisms on surfaces
• Algebraic dynamics of the lifts of Frobenius
• Density of orbits of endomorphisms of commutative linear algebraic groups
• The dynamical Mordell-Lang problem for Noetherian spaces
• Arithmetic degrees for dynamical systems over function fields of characteristic zero
• On the entropy of holomorphic maps
• Erratum to ``On the dynamical and arithmetic degrees of rational self-maps of algebraic varieties
• Zariski dense orbits for regular self-maps of tori in positive characteristic
• Height gap conjectures, \(D\)-finiteness, and a weak dynamical Mordell-Lang conjecture
• Invariant hypersurfaces in holomorphic dynamics
• Relative dynamical degrees of correspondences over a field of arbitrary characteristic
• Periodic points of birational transformations on projective surfaces
• On the Medvedev-Scanlon conjecture for minimal threefolds of nonnegative Kodaira dimension
• Existence of non-preperiodic algebraic points for a rational self-map of infinite order
• Invariant varieties for polynomial dynamical systems
• The algebraic dynamics of generic endomorphisms of \(\mathbb{P}^n\)
• Equidistribution for meromorphic maps with dominant topological degree
• The Dynamical Mordell–Lang Conjecture
• Density of orbits of endomorphisms of abelian varieties
• Le théorème de Bertini en famille
• Rational surfaces with a large group of automorphisms
• The dynamical Mordell-Lang problem for etale maps
• Remarks on endomorphisms and rational points
• On the distribution of orbits in affine varieties
• Elements Generating a Proper Normal Subgroup of the Cremona Group
• Canonical Heights on Hyper-Kähler Varieties and the Kawaguchi–Silverman Conjecture
• Value distribution for sequences of rational mappings and complex dynamics
• The dynamical Mordell-Lang conjecture in positive characteristic
• On a dynamical version of a theorem of Rosenlicht
• Density of orbits of dominant regular self-maps of semiabelian varieties
• The existence of Zariski dense orbits for polynomial endomorphisms of the affine plane
• Degrees of iterates of rational maps on normal projective varieties
• On upper bounds of arithmetic degrees
• Applications of p-Adic Analysis for Bounding Periods of Subvarieties Under Etale Maps
• p-adic interpolation of iterates
• Projective surface automorphisms of positive topological entropy from an arithmetic viewpoint
• Entropie topologique des applications méromorphes
• The Dynamical Mordell–Lang Conjecture for Skew-Linear Self-Maps. Appendix by Michael Wibmer
• THE DYNAMICAL MORDELL–LANG CONJECTURE FOR ENDOMORPHISMS OF SEMIABELIAN VARIETIES DEFINED OVER FIELDS OF POSITIVE CHARACTERISTIC
• Higher-dimensional algebraic geometry
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