English

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

Complex Variables 2014-03-20 v1

Abstract

Let F\mathcal{F} be a codimension one holomorphic foliation in Pn\mathbb{P}^n, n2n\geq 2, leaving invariant a real-analytic Levi-flat hypersurface MM with regular part MM^{*}. Then every leaf of F\mathcal{F} outside M\overline{M^{*}} accumulates in M\overline{M^{*}}.

Keywords

Cite

@article{arxiv.1403.4802,
  title  = {On the dynamics of foliations in $\mathbb{P}^n$ tangent to Levi-flat hypersurfaces},
  author = {Arturo Fernández-Pérez and Rogério Mol and Rudy Rosas},
  journal= {arXiv preprint arXiv:1403.4802},
  year   = {2014}
}

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9 pages