{ "id": "math/0411085", "version": "v1", "published": "2004-11-04T11:13:42.000Z", "updated": "2004-11-04T11:13:42.000Z", "title": "Formal normal forms for holomorphic maps tangent to the identity", "authors": [ "Marco Abate", "Francesca Tovena" ], "comment": "12 pages; submitted to Proceedings of the Fifth International Conference on Dynamical Systems and Differential Equations, June 2004, Pomona, CA, USA", "categories": [ "math.DS", "math.CV" ], "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.", "revisions": [ { "version": "v1", "updated": "2004-11-04T11:13:42.000Z" } ], "analyses": { "subjects": [ "32H50", "37F99" ], "keywords": [ "constructing formal normal forms", "fixed points", "holomorphic maps tangential", "complete list", "hypersurface" ], "tags": [ "conference paper" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math.....11085A" } } }