Formal normal forms for holomorphic maps tangent to the identity

Mathematics – Dynamical Systems

Scientific paper

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12 pages; submitted to Proceedings of the Fifth International Conference on Dynamical Systems and Differential Equations, June

Scientific paper

We describe a procedure for constructing formal normal forms of holomorphic
maps with a hypersurface of fixed points, and we apply it to obtain a complete
list of formal normal forms for 2-dimensional holomorphic maps tangential to a
curve of fixed points.

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