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

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

2009-07-12

arxiv.org/abs/0907.2061v1

Mathematics

Complex Variables

Scientific paper

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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