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arxiv: math/0411085 · v1 · submitted 2004-11-04 · 🧮 math.DS · math.CV

Formal normal forms for holomorphic maps tangent to the identity

classification 🧮 math.DS math.CV
keywords formalformsholomorphicmapsnormalfixedpointsapply
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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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