3 problems

Let $M\subset\mathbb C^{n+d}$ be a strongly Levi nondegenerate model quadric, let $a\in\mathbb C^d$ be sufficiently small, and let $V\in\mathbb C^n$ be as in the definition of…

Beloshapka–Ezhov–Meylan conjecture. Under these hypotheses, the $1$-jet map $\mathfrak j_{1}$ should be a local diffeomorphism.

2-jet determination conjecture. Under these hypotheses, any germ at $p$ of a CR automorphism of $M$ of class $\mathcal{C}^3$ is uniquely determined by its $2$-jet at $p$.