arXiv subjects

Rudy Rosas

Publications and source records attributed to Rudy Rosas.

20 records · Page 2Linked to original sources

arXiv2014

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

Let $\mathcal{F}$ be a codimension one holomorphic foliation in $\mathbb{P}^n$, $n\geq 2$, leaving invariant a real-analytic Levi-flat hypersurface $M$ with regular part $M^{*}$. Then every leaf of $\mathcal{F}$ outside $\overline{M^{*}}$ accumulates in $\overline{M^{*}}$.

math.CV↗

arXiv2013

Invariant sets near singularities of holomorphic foliations

Consider a complex one dimensional foliation on a complex surface near a singularity $p$. If $\mathcal{I}$ is a closed invariant set containing the singularity $p$, then $\mathcal{I}$ contains either a separatrix at $p$ or an invariant real three dimensional manifold singular at $p$.

math.DS↗