R. Rosas

activity

20122026

most citedInvariant sets near singularities of holomorphic foliations

15 citations · 27 across the 13 of their papers we have counts for

collaborators

Showing math.CVShow all

5 papers · 1 filter

math.CV2026

Geometric index theorems for holomorphic foliations and curves

César Camacho, Rudy Rosas

Let $M$ be a complex surface endowed with a holomorphic projective connection and let $C \subset M$ be a compact smooth holomorphic curve. Given two singular holomorphic foliations…

math.CV2022

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 $P^{n}$ is necessarily a Kupka component.

math.CV2022

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…

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