6 problems

Let $N$ and $N'$ be integers with $2\le N\le N'$. Let $M\subset\mathbb C^N$ and $M'\subset\mathbb C^{N'}$ be real-analytic strictly pseudoconvex hypersurfaces, and let a formal emb…

Let $M\subset\mathbb C^N$ be a real analytic generic submanifold and let $p\in M$ be a point of finite type. Let $M'\subset\mathbb C^{N'}$ be a real analytic set containing no nont…

Let $M$ and $M'$ be connected real analytic hypersurfaces through $0$ in $\mathbb C^2$, and suppose that $M$ is of finite type at some point. Let…

Let $M\subset\mathbb C^N$ be a real analytic CR submanifold. Let $p\in M$, let $M'\subset\mathbb C^N$ be a real analytic submanifold with $\dim_{\mathbb R}M=\dim_{\mathbb R}M'$, an…

Let $(M,0)\subset\mathbb{C}^{2}$ be an arbitrary real-analytic Levi nonflat germ, and let $\mathfrak{f}(M,0)$ denote its formal isotropy Lie algebra. Conjecture 5.3. The formal iso…

Let $M\subset\mathbb{C}^{N}$ be a holomorphically nondegenerate real-analytic hypersurface and let $p\in M$. Denote by $\operatorname{Aut}(M,p)$ and $\mathcal F(M,p)$ the groups of…