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Article Dans Une Revue American Journal of Mathematics Année : 2011

Local Levi-Flat hypersurfaces invariants by codimension one holomorphic foliation

Résumé

In this paper we study codimension one holomorphic foliations leaving invariant real analytic hypersurfaces. In particular, we prove that a germ of real analytic Levi-flat hypersurface with sufficiently "small" singular set is given by the zeroes of the imaginary part of a holomorphic function.
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Dates et versions

hal-00459323 , version 1 (23-02-2010)

Identifiants

  • HAL Id : hal-00459323 , version 1

Citer

Dominique Cerveau, Alcides Lins Neto. Local Levi-Flat hypersurfaces invariants by codimension one holomorphic foliation. American Journal of Mathematics, 2011, 133 (3), pp.677-716. ⟨hal-00459323⟩
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