Finite orbits for large groups of automorphisms of projective surfaces
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Publication:6181109
DOI10.1112/s0010437x23007613arXiv2012.01762OpenAlexW3109177155MaRDI QIDQ6181109
Publication date: 2 January 2024
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.01762
(K3) surfaces and Enriques surfaces (14J28) Heights (11G50) Automorphisms of surfaces and higher-dimensional varieties (14J50) Arithmetic dynamics on general algebraic varieties (37P55) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30) Higher-dimensional holomorphic and meromorphic dynamics (37F80)
Cites Work
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- Canonical vector heights on \(K3\) surfaces -- a nonexistence result
- Preperiodic points and unlikely intersections
- Finiteness results for algebraic K3 surfaces
- Automorphisms of Enriques surfaces which act trivially on the cohomology groups
- Big line bundles over arithmetic varieties
- Growth of balls of holomorphic sections and energy at equilibrium
- Courbes sur une variété abélienne et points de torsion
- Rational points on K3 surfaces: A new canonical height
- A remark on the Lefschetz fixed point formula for differentiable maps
- The Levi problem on complex spaces with singularities
- Equidistribution of small points
- The dynamical Manin-Mumford problem for plane polynomial automorphisms
- Sublevel sets and pull-backs of plurisubharmonic functions
- Common preperiodic points for quadratic polynomials
- Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy
- Periodic points of birational transformations on projective surfaces
- Mahler measures and logarithmic equidistribution
- Laminar currents and birational dynamics
- Stetige streng pseudokonvexe Funktionen
- The automorphism groups of Kummer surfaces associated with the product of two elliptic curves
- Dynamics on K3 surfaces: Salem numbers and Siegel disks
- Dynamical degrees of birational transformations of projective surfaces
- Random Walks on Reductive Groups
- Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)
- EQUIDISTRIBUTION OF PERIODIC POINTS OF SOME AUTOMORPHISMS ON K3 SURFACES
- Rational surfaces with a large group of automorphisms
- Birational automorphism groups and the movable cone theorem for Calabi-Yau manifolds of Wehler type via universal Coxeter groups
- Elements Generating a Proper Normal Subgroup of the Cremona Group
- Canonical heights, invariant currents, and dynamical eigensystems of morphisms for line bundles
- Invariant curves for birational surface maps
- K3 surfaces with Picard number three and canonical vector heights
- Mesures de Monge-Ampère et caractérisation géométrique des variétés algébriques affines
- Burnside's Theorem on Algebras of Matrices
- Convex Polytopes
- Symétries birationnelles des surfaces feuilletÉes
- Canonical Vector Heights on Algebraic K3 Surfaces with Picard Number Two
- Canonical vector heights on K3 surfaces with Picard number three— An argument for nonexistence
- Kummer rigidity for K3 surface automorphisms via Ricci-flat metrics
- Automorphisms of compact Kähler manifolds with slow dynamics
- Measure rigidity for random dynamics on surfaces and related skew products
- Projective surface automorphisms of positive topological entropy from an arithmetic viewpoint
- Spectral Properties of Matrices which have Invariant Cones
- Hyperbolic manifolds and discrete groups
- Dynamics of automorphisms of \(K3\) surfaces
- On the dynamics of the automorphism group of \(K3\) surfaces
- Periodic points for area-preserving birational maps of surfaces
- Random dynamics on real and complex projective surfaces
- Canonical currents and heights for K3 surfaces
