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arxiv: 1606.02140 · v2 · pith:GQNQADNRnew · submitted 2016-06-07 · 🧮 math.CV · math.DS

Dicritical singularities and laminar currents on Levi-flat hypersurfaces

classification 🧮 math.CV math.DS
keywords criterioncurrentsdicriticallevi-flatanalyticapplicationcaseclass
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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 the Segre varieties. As an application, we obtain a structure theorem for some class of currents in the nondicritical case.

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