Holomorphic maps on projective spaces and continuations of Fatou maps

DOI10.1307/mmj/1213972402zbMath1171.37025OpenAlexW2076865144MaRDI QIDQ2519157

Tetsuo Ueda

Publication date: 22 January 2009

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1213972402

zbMATH Keywords

projective spaceholomorphic mappingFatou map

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Removable singularities in several complex variables (32D20)

Related Items (8)

Polynomial skew-products with wandering Fatou-disks ⋮ Fatou components with punctured limit sets ⋮ Structure of Julia sets for post-critically finite endomorphisms on \(\mathbb{P}^2\) ⋮ Tautness and Fatou components in \(\mathbb P^2\) ⋮ Geometric methods in holomorphic dynamics ⋮ Classification of recurrent domains for holomorphic maps on complex projective spaces ⋮ Parametrization of unstable manifolds and Fatou disks for parabolic skew-products ⋮ Classification of invariant Fatou components for dissipative Hénon maps

Cites Work

• Fatou maps in \(\mathbb{P}^n\) dynamics
• Fatou sets in complex dynamics on projective spaces
• Classification of recurrent domains for some holomorphic maps
• Prolongements analytiques au sens de Riemann
• Dynamics in One Complex Variable. (AM-160)
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