B\"ottcher coordinates at superattracting fixed points of holomorphic skew products
Abstract
Let f : (C2, 0) (C2, 0) be a germ of holomorphic skew product with a superattracting fixed point at the origin. If it has a suitable weight, then we can construct a B\"ottcher coordinate which conjugates f to the associated monomial map. This B\"ottcher coordinate is defined on an open set whose interior or boundary contains the origin.
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