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

Formal normal forms for holomorphic maps tangent to the identity

Marco Abate 1, and  Francesca Tovena 2,

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.
Keywords: Maps tangent to the identity, formal normal forms..
Mathematics Subject Classification: 32H50; Secondary: 37F99.
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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