Minimal polynomial of an exponential automorphism of Cⁿ

الأصل · EN

We show that the minimal polynomial of a polynomial exponential automorphism F of Cⁿ (i.e. F=exp(D), where D is a locally nilpotent derivation) is of the form μF(T)=(T-1)ᵈ, d=minm ∈ N: Dᵐ(Xᵢ)=0 for i=1,...,n.