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arxiv: 0907.2061 · v1 · submitted 2009-07-12 · 🧮 math.CV · math.DS

Fatou-Bieberbach domains as basins of attraction of automorphisms tangent to the identity

classification 🧮 math.CV math.DS
keywords attractionidentityorigintangentalongautomorphismautomorphismsbasins
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We prove that there exists an automorphism of C^2 tangent to the identity with a domain of attraction to the origin, biholomorphic to the origin, along a degenerate characteristic direction.

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