On fixed points of holomorphic type
Volume 94 / 2002
Colloquium Mathematicum 94 (2002), 61-66
MSC: Primary 37J; Secondary 32A.
DOI: 10.4064/cm94-1-5
Abstract
We study a linearization of a real-analytic plane map in the neighborhood of its fixed point of holomorphic type. We prove a generalization of the classical Koenig theorem. To do that, we use the well known results concerning the local dynamics of holomorphic mappings in ${{\mathbb C}}^2$.
