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arXiv:math/0411085 [math.DS]AbstractReferencesReviewsResources

Formal normal forms for holomorphic maps tangent to the identity

Marco Abate, Francesca Tovena

Published 2004-11-04Version 1

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.

Comments: 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
Subjects: 32H50, 37F99
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