On Normal Forms for Levi-flat hypersurfaces with an Isolated Line Singularity
Complex Variables
2015-06-15 v2
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.
Cite
@article{arxiv.1304.2669,
title = {On Normal Forms for Levi-flat hypersurfaces with an Isolated Line Singularity},
author = {Arturo Fernández-Pérez},
journal= {arXiv preprint arXiv:1304.2669},
year = {2015}
}
Comments
9 pages, accepted to Arkiv f\"or Matematik