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Böttcher coordinates at superattracting fixed points of holomorphic skew products
2016
Conformal Geometry and Dynamics
Preserved Fulltext
Let f : (C 2 , 0) → (C 2 , 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 Böttcher coordinate which conjugates f to the associated monomial map. This Böttcher coordinate is defined on an invariant open set whose interior or boundary contains the origin.
doi:10.1090/ecgd/290
fatcat:m7ccf7l4azcbflbzdwezavxh6q