Minimal polynomial of an exponential automorphism of C^n
Commutative Algebra
2015-12-10 v1 Algebraic Geometry
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 \mu_F(T)=(T-1)^d, d=min{m \in N: D^m(X_i)=0 for i=1,...,n}.
Keywords
Cite
@article{arxiv.0801.0616,
title = {Minimal polynomial of an exponential automorphism of C^n},
author = {Jakub Zygadło},
journal= {arXiv preprint arXiv:0801.0616},
year = {2015}
}
Comments
5 pages