Dynamics of automorphisms on projective complex manifolds

Abstract

We show that the dynamics of automorphisms on all projective complex manifolds X (of dimension 3, or of any dimension but assuming the Good Minimal Model Program or Mori's Program) are canonically built up from the dynamics on just three types of projective complex manifolds: complex tori, weak Calabi-Yau manifolds and rationally connected manifolds. As a by-product, we confirm the conjecture of Guedj for automorphisms on 3-dimensional projective manifolds, and also determine pi_1(X).

Journal of Differential Geometry, to appear

References in corpus (2)

• Propriétés ergodiques des applications rationnelles
• Dynamics of Automorphisms of Compact Complex Manifolds

Cited by in corpus (4)

• The third smallest Salem number in automorphisms of K3 surfaces
• Cohomologically hyperbolic endomorphisms of complex manifolds
• Automorphisms of rational manifolds of positive entropy with Siegel disks
• A remark on dynamical degrees of automorphisms of hyperkähler manifolds