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arxiv: 1403.4802 · v1 · pith:SDNDNWNPnew · submitted 2014-03-19 · 🧮 math.CV

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

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keywords levi-flatmathbbmathcaloverlineaccumulatescodimensiondynamicsevery
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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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