# American Institute of Mathematical Sciences

2005, 2005(Special): 1-10. doi: 10.3934/proc.2005.2005.1

## Formal normal forms for holomorphic maps tangent to the identity

 1 Dipartimento di Matematica, Università di Pisa, Via Buonarroti 2, 56127 Pisa, Italy 2 Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 00133 Roma, Italy

Received  September 2004 Published  September 2005

We describe a procedure for constructing formal normal forms of holomorphic maps with a hypersurface of mixed points, and we apply it to obtain a complete list of formal normal forms for 2-dimensional holomorphic maps tangential to a curve of mixed points.
Citation: Marco Abate, Francesca Tovena. Formal normal forms for holomorphic maps tangent to the identity. Conference Publications, 2005, 2005 (Special) : 1-10. doi: 10.3934/proc.2005.2005.1
 [1] Mark F. Demers. Uniqueness and exponential mixing for the measure of maximal entropy for piecewise hyperbolic maps. Discrete & Continuous Dynamical Systems - A, 2021, 41 (1) : 217-256. doi: 10.3934/dcds.2020217

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