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arXiv · 1403.4802

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

Arturo Fernández-Pérez·Rogério Mol·Rudy Rosas
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Abstract

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 $\overline{M^{*}}$.

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Arturo Fernández-Pérez, Rogério Mol, Rudy Rosas. 2014-03-19. On the dynamics of foliations in $\mathbb{P}^n$ tangent to Levi-flat hypersurfaces. https://arxiv.org/abs/1403.4802

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