Geodesic
Differentiable equisingularity of holomorphic foliations
Journal of Singularities, Tome 19 (2019), pp. 76-96

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We prove that a smooth equivalence between germs of holomorphic foliations at (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.
DOI : 10.5427/jsing.2019.19f
Classification : 32S65, 37F75 
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     author = {Rog\'erio Mol and Rudy Rosas},
     title = {Differentiable equisingularity of holomorphic foliations},
     journal = {Journal of Singularities},
     pages = {76--96},
     publisher = {mathdoc},
     volume = {19},
     year = {2019},
     doi = {10.5427/jsing.2019.19f},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2019.19f/}
}
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Rogério Mol; Rudy Rosas. Differentiable equisingularity of holomorphic foliations. Journal of Singularities, Tome 19 (2019), pp. 76-96. doi: 10.5427/jsing.2019.19f

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