There is no tame automorphism of C^3 with muldidegree (3,4,5)

Abstract

Let F=(F_1,...,F_n):C^n --> C^n be any polynomial mapping. By multidegree of F, denoted mdeg F, we call the sequence of positive integers (deg F_1,...,F_n). In this paper we addres the following problem: for which sequence (d_1,...,d_n) there is an automorphism or tame automorphism F:C^n --> C^n with mdeg F=(d_1,...,d_n}. We proved, among other things, that there is no tame automorphism F:C^3 --> C^3 with mdeg F=(3,4,5).

References in corpus (2)

• On multidegree of tame and wild automorphisms of C^3
• On multidegrees of polynomial automorphisms of C^3

Cited by in corpus (2)

• Tame automorphisms with multidegrees in the form of arithmetic progressions
• On weighted bidegree of polynomial automorphisms of C^2