Abstract

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.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 379-405
Launched on MUSE
2012-03-30
Open Access
No
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