Formal normal forms for holomorphic maps tangent to the identity

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73102We 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, USADynamical SystemsComplex Variables32H50 (Primary); 37F99Formal normal forms for holomorphic maps tangent to the identitytext