Geodesic
Dicritical singularities and laminar currents on Levi-flat hypersurfaces
Izvestiya. Mathematics , Tome 81 (2017) no. 5, pp. 1030-1043

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We establish an effective criterion for a dicritical singularity of a real analytic Levi-flat hypersurface. The criterion is stated in terms of Segre varieties. As an application, we obtain a structure theorem for a certain class of currents in the non-dicritical case.
Keywords: Levi-flat set, dicritical singularity, current.
Mots-clés : foliation 
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     title = {Dicritical singularities and laminar currents on {Levi-flat} hypersurfaces},
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S. I. Pinchuk; R. G. Shafikov; A. B. Sukhov. Dicritical singularities and laminar currents on Levi-flat hypersurfaces. Izvestiya. Mathematics , Tome 81 (2017) no. 5, pp. 1030-1043. http://geodesic.mathdoc.fr/item/IM2_2017_81_5_a4/