4 citations · 4 across the 8 of their papers we have counts for
15 papers
Holomorphic foliations tangent to Rolle-pfaffian hypersurfaces
Arturo Fernández-Pérez, Rogério Mol, Rudy Rosas
In this paper we study germs of holomorphic foliations, at the origin of the complex plane, tangent to Pfaffian hypersurfaces - integral hypersurfaces of real analytic 1-forms - sa…
On the algebraicity of germs of meromorphic functions
Yohann Genzmer, Rogério Mol
In this article we prove that every germ of analytic meromorphic function at is equivalent, under the right composition by a germ of biholomorphism, to a germ…
Chow's theorem for real analytic Levi-flat hypersurfaces
Arturo Fernández-Pérez, Rogério Mol, Rudy Rosas
In this article we provide a version of Chow's theorem for real analytic Levi-flat hypersurfaces in the complex projective space , . More specifically, we…
Logarithmic models and meromorphic functions in dimension two
Jane Bretas, Rogério Mol
In this article we describe the construction of logarithmic models in both real and complex cases. A logarithmic model is a germ of closed meromorphic 1-form with simple poles - an…
Separatrices for real analytic vector fields in the plane
Eduardo Cabrera, Rogério Mol
Let be a germ of real analytic vector field at with an algebracally isolated singularity. We say that is a topological generalized curve if there are…
Holomorphic vector fields tangent to foliations in dimension three
Danúbia Junca, Rogério Mol
This article studies germs of holomorphic vector fields at the origin of C3 that are tangent to holomorphic foliations of codimension one. Two situations are considered. First, we…