Rudy Rosas

activity

20142023

collaborators

3 papers

math.DS2023

Nondegenerate germs of holomorphic foliations with prescribed holonomy

Javier Ribón, Rudy Rosas

We are interested in characterizing the holonomy maps associated to integral curves of non-degenerate singularities of holomorphic vector fields. Such a description is well-known i…

math.CV2021

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 $P^{n}$ , $n \geq 2$ . More specifically, we…

math.CV2014

On the dynamics of foliations in $P^{n}$ tangent to Levi-flat hypersurfaces

Arturo Fernández-Pérez, Rogério Mol, Rudy Rosas

Let $F$ be a codimension one holomorphic foliation in $P^{n}$ , $n \geq 2$ , leaving invariant a real-analytic Levi-flat hypersurface $M$ with regular part $M^{*}$ . T…

Nondegenerate germs of holomorphic foliations with prescribed holonomy

Chow's theorem for real analytic Levi-flat hypersurfaces

On the dynamics of foliations in Pn tangent to Levi-flat hypersurfaces

On the dynamics of foliations in $P^{n}$ tangent to Levi-flat hypersurfaces