Minimal polynomial of an exponential automorphism of C^n
arXiv:0801.0616 · doi:10.1090/S0002-9939-09-09786-X
Abstract
We show that the minimal polynomial of a polynomial exponential automorphism F of C^n (i.e. F=exp(D), where D is a locally nilpotent derivation) is of the form μ_F(T)=(T-1)^d, d=min{m \in N: D^m(X_i)=0 for i=1,...,n}.
arXiv comment5 pages