Dynamics of Automorphisms of Compact Complex Manifolds

Abstract

We give an algebro-geometric approach towards the dynamics of automorphisms/endomorphisms of projective varieties or compact Kähler manifolds, try to determine the building blocks of automorphisms /endomorphisms, and show the relation between the dynamics of automorphisms/endomorphisms and the geometry of the underlying manifolds.

in : Proceedings of International Congress of CHINESE Mathematicians 2007 -- Section: Algebraic Geometry

References in corpus (4)

• Propriétés ergodiques des applications rationnelles
• Tits alternative in hypekähler manifolds
• Cohomologically hyperbolic endomorphisms of complex manifolds
• Bimeromorphic automorphism groups of non-projective hyperkähler manifolds - a note inspired by C. T. McMullen

Cited by in corpus (5)

• Polarized endomorphisms of uniruled varieties (with Appendix by Y. Fujimoto and N. Nakayama)
• Dynamics of automorphisms on projective complex manifolds
• Cohomologically hyperbolic endomorphisms of complex manifolds
• Birational geometry in the study of dynamics of automorphisms and Brody/Mori/Lang hyperbolicity
• Rationality of rationally connected threefolds admitting non-isomorphic endomorphisms