Class of the infinitesimal generator of a diffeomorphism in $(\C^m,0)$

F. E. Brochero Martinez, L. Lopez-Hernanz

Let $F$ be an analytic diffeomorphism in $(\C^m,0)$ tangent to the identity of order $n$. The infinitesimal generator of $F$ is the formal vector field $X$ such that $\Exp X=F$. In…