Minimal polynomial of an exponential automorphism of C^n

Details Minimal polynomial of an exponential automorphism of C^n Minimal polynomial of an exponential automorphism of C^n

2008-01-04

arxiv.org/abs/0801.0616v1

Mathematics

Commutative Algebra

5 pages

Scientific paper

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 \mu_F(T)=(T-1)^d, d=min{m \in N: D^m(X_i)=0 for i=1,...,n}.

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