paper

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

arXiv:1304.2669 · doi:10.1007/s11512-014-0198-3

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.

9 pages, accepted to Arkiv för Matematik

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