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math.AC2009★ 5 cited
On multidegrees of polynomial automorphisms of C^3
Jakub Zygadło
We prove that for every pair of positive integers a, b there exists a number c_0 such that for every c>=c_0 one can find a tame polynomial automorphism of C^3 with multidegree equa…
math.AC2008
Minimal polynomial of an exponential automorphism of C^n
Jakub Zygadło
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=mi…