DYNAMICS OF RATIONAL SURFACE AUTOMORPHISMS: ROTATION DOMAINS

作者:Bedford Eric*; Kim Kyounghee
来源:American Journal of Mathematics, 2012, 134(2): 379-405.
DOI:10.1353/ajm.2012.0015

摘要

A Fatou component is said to be a rotation domain if the automorphism induces a torus action on it. We construct a rational surface automorphism with positive entropy and a rotation domain which contains both a curve of fixed points and isolated fixed points. This Fatou component cannot be imbedded into complex Euclidean space, so we introduce a global linear model space and show that it can be globally linearized in this model.

  • 出版日期2012-4