Corpus ID: 235731984

Pull-back of singular Levi-flat hypersurfaces

  title={Pull-back of singular Levi-flat hypersurfaces},
  author={A. Beltr'an and A. Fern'andez-P'erez and Hern'an Neciosup},
We study singular real analytic Levi-flat subsets invariant by singular holomorphic foliations in complex projective spaces. We give sufficient conditions for a real analytic Levi-flat subset to be the pullback of a semianalytic Levi-flat hypersurface in a complex projective surface under a rational map or to be the pull-back of a real algebraic curve under a meromorphic function. In particular, we give an application to the case of a singular real analytic Levi-flat hypersurface. Our results… Expand


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