Formal normal forms for holomorphic maps tangent to the identity
Dynamical Systems
2007-05-23 v1 Complex Variables
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.
Keywords
Cite
@article{arxiv.math/0411085,
title = {Formal normal forms for holomorphic maps tangent to the identity},
author = {Marco Abate and Francesca Tovena},
journal= {arXiv preprint arXiv:math/0411085},
year = {2007}
}
Comments
12 pages; submitted to Proceedings of the Fifth International Conference on Dynamical Systems and Differential Equations, June 2004, Pomona, CA, USA