English

Periodic points of birational maps on projective surfaces

Algebraic Geometry 2015-11-03 v2 Dynamical Systems

Abstract

We classify birational maps of projective smooth surfaces whose non-critical periodic points are Zariski dense. In particular, we show that if the first dynamical degree is greater than one, then the periodic points are Zariski dense.

Keywords

Cite

@article{arxiv.1106.1825,
  title  = {Periodic points of birational maps on projective surfaces},
  author = {Junyi Xie},
  journal= {arXiv preprint arXiv:1106.1825},
  year   = {2015}
}

Comments

30 pages