Dynamics of rational surface automorphisms: rotation domains

• Autores: Eric Bedford
• Localización: American journal of mathematics, ISSN 0002-9327, Vol. 134, Nº 2, 2012, págs. 379-405
• Idioma: inglés
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• Resumen

  • 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.