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Fatou components with punctured limit sets

Fatou components with punctured limit sets

We study invariant Fatou components for holomorphic endomorphisms in $\mathbb{P}^{2}$ . In the recurrent case these components were classified by Fornæss and Sibony [Classification of recurrent domains for some holomorphic maps. Math. Ann. 301 (4) (1995), 813–820]. Ueda [Holomorphic maps on projective spaces and continuations of Fatou maps. Michigan Math …