Normal Forms for Rigid ${\mathfrak{C}}_{2,1}$ Hypersurfaces $M^5\subset {\mathbb{C}}^3$

Zhangchi Chen, Wei-Guo Foo, Joel Merker +1

Consider a $2$-nondegenerate constant Levi rank $1$ rigid ${\mathcal{C}}^{\omega }$ hypersurface $M^5\subset {\mathbb{C}}^3$ in coordinates $(z,\zeta ,w=u+iv)$: \[ u = F\big(z,ζ,\bar{z},\bar…