Stable manifolds of biholomorphisms in ${\mathbb{C}}^n$ asymptotic to formal curves

Lorena López-Hernanz, Javier Ribón, Fernando Sanz Sánchez +1

Given a germ of biholomorphism $F\in \mathrm{Diff}({\mathbb{C}}^n,0)$ with a formal invariant curve $\Gamma$ such that the multiplier of the restricted formal diffeomorphism $F{|}_{\Gamma }$ is a ro…