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Formal normal forms for holomorphic maps tangent to the identity

Marco Abate·Francesca Tovena
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Abstract

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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Marco Abate, Francesca Tovena. 2004-11-04. Formal normal forms for holomorphic maps tangent to the identity. https://arxiv.org/abs/math/0411085

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