Dicritical singularities and laminar currents on Levi-flat hypersurfaces

Published 7 Jun 2016 in math.CV and math.DS | (1606.02140v2)

Abstract: We establish an effective criterion for a dicritical singularity of a real analytic Levi-flat hypersurface. The criterion is stated in terms of the Segre varieties. As an application, we obtain a structure theorem for some class of currents in the nondicritical case.

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