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

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dc.creatorMaegawa, Kazutoshi
dc.date2006-04-04
dc.date.accessioned2026-07-07T07:10:29Z
dc.date.available2026-07-07T07:10:29Z
dc.descriptionFor 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.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0604060
dc.identifierhttp://arxiv.org/abs/math/0604060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111435
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject32H50; 32Q28
dc.titleSteinness of the Fatou set for a rational map of the complex projective plane
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