On Normal Forms of Singular Levi-Flat Real Analytic Hypersurfaces

Arturo Fernández-Pérez

Let $F(z)=\mathcal{R}e(P(z))+h.o.t$ be such that $M=(F=0)$ defines a germ of real analytic Levi-flat at $0\in {\mathbb{C}}^n$, $n\ge 2$, where $P(z)$ is a homogeneous polynomial…