2 problems

Let $\hat{G}\subset\widehat{\operatorname{Diff}}(\mathbb{R}^{n}_{0})$ be a subgroup of formal diffeomorphisms. Realisation conjecture. There exists a smooth realisation…

Let $X$ be a smooth germ of vector field at the origin of $\mathbb{R}^{n}$ with an algebraically isolated singularity, and suppose it has a formal invariant curve…