2 citations · 2 across the 4 of their papers we have counts for
8 papers
Transversely product singularities of foliations in projective spaces
Rudy Rosas
We prove that a transversely product component of the singular set of a holomorphic foliation on is necessarily a Kupka component.
Distributions, first integrals and Legendrian foliations
Maycol Falla Luza, Rudy Rosas
We study germs of holomorphic distributions with "separated variables'. In codimension one, a well know example of this kind of distribution is given by the canonical contact struc…
Foliations on with only one singular point
Percy Fernández, Liliana Puchuri, Rudy Rosas
In this paper we study holomorphic foliations on with only one singular point. If the singularity has algebraic multiplicity one, we prove that the foliation has no…
On singular real analytic Levi-flat foliations
Arturo Fernández-Pérez, Rogério Mol, Rudy Rosas
A singular real analytic foliation of real codimension one on an -dimensional complex manifold is Levi-flat if each of its leaves is foliated by immersed compl…
Foliations on the projective plane with finite group of symmetries
Alan Muniz, Rudy Rosas
Let denote a singular holomorphic foliation on having a finite automorphism group $\mbox{aut}(\mathcal{F})$. Fixed the degree of , we dete…
Characteristic directions of two-dimensional biholomorphisms
Lorena López-Hernanz, Rudy Rosas
We prove that for each characteristic direction of a tangent to the identity diffeomorphism of order in there exist either an analytic curve of fixed poi…