Formal normal forms for holomorphic maps tangent to the identity
arXiv:math/0411085
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.
12 pages; submitted to Proceedings of the Fifth International Conference on Dynamical Systems and Differential Equations, June 2004, Pomona, CA, USA