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FROM THE PP-GRAPHICS TO THE FINITENESS PART OF HILBERT'S 16<sup><i>TH</i></sup> PROBLEM FOR QUADRATIC SYSTEMS
This is part of the effort, the program launched by Dumortier, Roussarie and Rousseau, in proving the finiteness part of Hilbert's 16th problem.In this paper, we highlight the ideas of proving the finite cyclicity of pp-graphics in quadratic systems.