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arXiv · 1304.2669

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

Arturo Fernández-Pérez
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Abstract

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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Arturo Fernández-Pérez. 2013-04-09. On Normal Forms for Levi-flat hypersurfaces with an Isolated Line Singularity. https://doi.org/10.1007/s11512-014-0198-3

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