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Jean Pierre Francoise - The local Hilbert's 16th problem and its generalization to any dimension
| JEAN PIERRE FRANCOISE, Université P. M. Curie, Paris VI, France |
| The local Hilbert's 16th problem and its generalization to any dimension |
Several new techniques have been recently developped in the framework
of solving the local Hilbert's 16-th problem for 2-dimensional
systems. The algorithm of the successives derivatives, algebraic
geometry approach based on Bautin's ideal and projection of analytic
varieties will be shortly displayed. A generalization to any dimension
of these techniques will be discussed.
