arXiv:math/0604060 Abstract

arXiv:math/0604060 [math.DS]Abstract References Reviews Resources

Steinness of the Fatou set for a rational map of the complex projective plane

Published 2006-04-04Version 1

For a dominant algebraically stable rational self-map of the complex projective plane of degree at least 2, we will consider three different definitions of Fatou set and show the equivalence of them. Consequently, it follows that all Fatou components are Stein. This is an improvement of an early result by Fornaess and Sibony.

Comments: 8 pages

Categories: math.DS, math.CV

Subjects: 32H50, 32Q28

Keywords: complex projective plane, fatou set, rational map, dominant algebraically stable rational self-map, fatou components

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