A Morse-Bott normal form for real analytic Levi-flat hypersurfaces
Complex Variables
2025-11-04 v1
Abstract
We prove the existence of a normal form for a real-analytic Levi-flat hypersurface defined by the vanishing of the real part of a holomorphic function with a Morse-Bott singularity. As a consequence, we recover the Burns-Gong normal form for Levi-flat hypersurfaces with generic Morse singularities and provide a new normal form for a certain class of real analytic quadratic Levi-flat hypersurfaces.
Keywords
Cite
@article{arxiv.2511.01088,
title = {A Morse-Bott normal form for real analytic Levi-flat hypersurfaces},
author = {Arturo Fernández-Pérez and Gustavo Marra},
journal= {arXiv preprint arXiv:2511.01088},
year = {2025}
}
Comments
12 pages