Tame Automorphisms of C~3 with Multidegree of the Form (p_1,p_2, d_3)

摘要

Summary. Let d_3 ≥ p_2 > p_1 ≥ 3 be integers such that p_1,p_2 are prime numbers. We show that the sequence (p_1,p_2,d_3) is the multidegree of some tame automorphism of C~3 if and only if d_3 ∈ p_1N + p_2N, i.e. if and only if d_3 is a linear combination of p_1 and p_2 with coefficients in N.