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Periodic points of birational transformations on projective surfaces

Junyi Xie Laurent Schwartz École Polytechnique

mathscidoc:1707.01002

Distinguished Paper Award in 2017

Duke Math. J., 164, (5), 2015
We give a classification of birational transformations on smooth projective surfaces which have a Zariski-dense set of noncritical periodic points. In particular, we show that if the first dynamical degree is greater than one, the union of all noncritical periodic orbits is Zariski-dense.
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@inproceedings{junyi2015periodic,
  title={Periodic points of birational transformations on projective surfaces},
  author={Junyi Xie},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170719191138200933804},
  booktitle={Duke Math. J.},
  volume={164},
  number={5},
  year={2015},
}
Junyi Xie. Periodic points of birational transformations on projective surfaces. 2015. Vol. 164. In Duke Math. J.. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170719191138200933804.
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