Differentiable equisingularity of holomorphic foliations
classification
🧮 math.DS
keywords
foliationsequisingularityholomorphicbijectionclassesconsequencedifferentiableequisingular
read the original abstract
We prove that a $C^{\infty}$ equivalence between germs holomorphic foliations at $({\mathbb C}^2,0)$ establishes a bijection between the sets of formal separatrices preserving equisingularity classes. As a consequence, if one of the foliations is of second type, so is the other and they are equisingular.
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