3 papers
math.DS2017
Second type foliations of codimension one
Gilberto Cuzzuol, Rogério Mol
In this article, for holomorphic foliations of codimension one at , we define the family of second type foliations. This is formed by foliations having, in the…
math.DS2017
Holomorphic foliations tangent to Levi-flat subsets
Jane Bretas, Arturo Fernández-Pérez, Rogério Mol
We study Segre varieties associated to Levi-flat subsets in complex manifolds and apply them to establish local and global results on the integration of tangent holomorphic foliati…
math.DS2017
Residue-type indices and holomorphic foliations
Arturo Fernández-Pérez, Rogério Mol
We investigate residue-type indices for germs of holomorphic foliations in the plane and characterize second type foliations - those not containing tangent saddle-nodes in the redu…