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

Published 9 Apr 2013 in math.CV | (1304.2669v2)

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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Authors (1)

Arturo Fernández-Pérez

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