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

Authors
  • Fernández-Pérez, Arturo
Type
Preprint
Publication Date
Jan 27, 2014
Submission Date
Apr 09, 2013
Identifiers
DOI: 10.1007/s11512-014-0198-3
Source
arXiv
License
Unknown
External links

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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