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arxiv: 1304.2669 · v2 · pith:26LSGWZRnew · submitted 2013-04-09 · 🧮 math.CV

On Normal Forms for Levi-flat hypersurfaces with an Isolated Line Singularity

classification 🧮 math.CV
keywords levi-flatlinesingularityformshypersurfacesisolatednormalreal-analytic
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We prove the existence of normal forms for some local real-analytic Levi-flat hypersurfaces with an isolated line singularity. We also give sufficient conditions for that a Levi-flat hypersurface with a complex line as singularity to be a pullback of a real-analytic curve in C via a holomorphic function.

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