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 a Levi-flat hypersurface with a complex line as singularity to be a pullback of a real-analytic curve in $\mathbb{C}$ via a holomorphic function.
Funding Statement
This work was partially supported by PRPq—Universidade Federal de Minas Gerias UFMG 2013, FAPEMIG APQ-00371-13 and CNPq grant number 301635/2013-7.
Citation
Arturo Fernández-Pérez. "On normal forms for Levi-flat hypersurfaces with an isolated line singularity." Ark. Mat. 53 (1) 65 - 78, April 2015. https://doi.org/10.1007/s11512-014-0198-3
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