Dynamics of automorphisms on projective complex manifolds

By De-Qi Zhang. Journal of differential geometry, 2008

57 citations recorded by the source corpus.

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).

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b0d8aa26bd8f3e8405927f1418753a5182778473

Citations in the corpus

• Building blocks of étale endomorphisms of complex projective manifolds (2009, unknown): “See [57] for the case of automorphisms.”