Dynamics on K3 surfaces: Salem numbers and Siegel disks

From MaRDI portal
Publication:2782023

DOI10.1515/crll.2002.036zbMath1054.37026OpenAlexW1976399393MaRDI QIDQ2782023

Curtis T. McMullen

Publication date: 11 April 2002

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2002.036




Related Items (59)

Hypergeometric groups and dynamics on \(K3\) surfacesFixed points of endomorphisms on two-dimensional complex toriA remark on dynamical degrees of automorphisms of hyperkähler manifoldsDynamics on supersingular \(K3\) surfacesAutomorphisms of projective K3 surfaces with minimum entropyOn the dynamics of birational diffeomorphism of real algebraic surfaces: Fatou sets and the real lineMinimum positive entropy of complex Enriques surface automorphismsAutomorphisms of positive entropy on some hyperKähler manifolds via derived automorphisms of \(K3\) surfacesFamilies of K3 surfaces and Lyapunov exponentsAlgebraic versus topological entropy for surfaces over finite fieldsAutomorphisms of surfaces: Kummer rigidity and measure of maximal entropyOn the stable dynamical spectrum of complex surfacesSmooth and rough positive currentsNon-liftability of automorphism groups of a \(K3\) surface in positive characteristicArithmetic and dynamics on varieties of Markoff typeSalem numbers of trace -2, and a conjecture of Estes and GuralnickSalem numbers of automorphisms of K3 surfaces with Picard number \(4\)Random dynamics on real and complex projective surfacesGaps in the support of canonical currents on projective K3 surfacesSimple complex tori of algebraic dimension 0Automorphisms of some \(K3\) surfaces and Beauville involutions of their Hilbert schemesAutomorphisms of blowups of threefolds being Fano or having Picard number 1Lattice isometries and K3 surface automorphisms: Salem numbers of degree 20Finite orbits for large groups of automorphisms of projective surfacesUnnamed ItemAutomorphisms of even unimodular lattices and equivariant Witt groupsExistence and genericity problems for dynamical systems with nonzero Lyapunov exponentsAutomorphisms of rational manifolds of positive entropy with Siegel disksMordell-Weil groups of a hyperkähler manifold -- a question of F. CampanaAn ergodic study of Painlevé VIDynamics on blowups of the projective planeOn equivariant holomorphic fillings\(K3\) surfaces of zero entropy admitting an elliptic fibration with only irreducible fibersInfinitesimal deformations of rational surface automorphismsFixed points and entropy of endomorphisms on simple abelian varietiesAutomorphisms and autoequivalences of generic analytic \(K3\) surfacesAnalytic reparametrization of semi-algebraic setsTropical dynamics of area-preserving mapsGreen currents for holomorphic automorphisms of compact Kähler manifoldsCommutative automorphism groups of a compact Kähler manifoldAutomorphismes loxodromiques de surfaces abéliennes réellesDynamics of rational surface automorphisms: linear fractional recurrencesRicci-flat metrics and dynamics on \(K3\) surfacesPseudoautomorphisms with Invariant CurvesDistinguished line bundles for complex surface automorphismsConstruction of automorphisms of hyperkähler manifoldsLocal families of K3 surfaces and applicationsA few explicit examples of complex dynamics of inertia groups on surfaces -- a question of Professor Igor DolgachevDynamical degrees of automorphisms on abelian varieties\(K3\) surfaces with Picard number 2, Salem polynomials and Pell equation\(K3\) surfaces, Picard numbers and Siegel disksRationality of rationally connected threefolds admitting non-isomorphic endomorphismsA note on automorphisms and birational transformations of holomorphic symplectic manifoldsDYNAMICS ON SUPERSINGULAR K3 SURFACES AND AUTOMORPHISMS OF SALEM DEGREE 22Entropy of Real Rational Surface AutomorphismsSeventy years of Salem numbersSequences of multivalued meromorphic mappings and laminar currentsKummer rigidity for K3 surface automorphisms via Ricci-flat metricsAutomorphisms of even unimodular lattices and unramified Salem numbers



Cites Work


This page was built for publication: Dynamics on K3 surfaces: Salem numbers and Siegel disks