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arXiv · 1202.0269

Attracting domains of maps tangent to the identity whose only characteristic direction is non-degenerate

Sara Lapan
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Abstract

We prove that a holomorphic fixed point germ in two complex variables, tangent to the identity, and whose only characteristic direction is non-degenerate, has a domain of attraction on which the map is conjugate to a translation. In the case of a global automorphism, the corresponding domain of attraction is a Fatou-Bieberbach domain.

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Sara Lapan. 2012-02-01. Attracting domains of maps tangent to the identity whose only characteristic direction is non-degenerate. https://doi.org/10.1142/s0129167x13500833

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