A canonical embedding of ${\text{Aut}}_{\text{hol}}({\mathbb{C}}^{\mathbf{n}})$

Francisco Braun, Frederico Xavier

The group ${\text{Aut}}_{\text{hol}}({\mathbb{C}}^n)$ of self-biholomorphisms of ${\mathbb{C}}^n$ consists of affine maps if $n=1$, but in higher dimensions it is a large object that has n…