English

Automorphism groups of positive entropy on minimal projective varieties

Algebraic Geometry 2018-09-24 v1 Dynamical Systems

Abstract

We determine the geometric structure of a minimal projective threefold having two `independent and commutative' automorphisms of positive topological entropy, and generalize this result to higher-dimensional smooth minimal pairs (X, G). As a consequence, we give an effective lower bound for the first dynamical degree of these automorphisms of X fitting the `boundary case'.

Keywords

Cite

@article{arxiv.1004.4781,
  title  = {Automorphism groups of positive entropy on minimal projective varieties},
  author = {De-Qi Zhang},
  journal= {arXiv preprint arXiv:1004.4781},
  year   = {2018}
}

Comments

Advances in Mathematics (to appear); 11 pages