LOCAL CLASSIFICATION OF PAIRS OF SINGULAR FOLIATIONS IN DIMENSION 2
Résumé
We study the analytic classification of pairs of singular holomorphic foliations in (C^2,0). We show that a pair of reduced, non-degenerate foliations with common separatrices and a simple tangency is entirely determined by a complete set of invariants composed of: the pair of holonomy representations, the couple of Camacho-Sad indices and the common separatrices.
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