Dynamics of automorphisms on projective complex manifolds
Algebraic Geometry
2018-09-24 v1 Dynamical Systems
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).
Keywords
Cite
@article{arxiv.0810.4675,
title = {Dynamics of automorphisms on projective complex manifolds},
author = {De-Qi Zhang},
journal= {arXiv preprint arXiv:0810.4675},
year = {2018}
}
Comments
Journal of Differential Geometry, to appear