Triangular Factorizations of Special Polynomial Automorphisms

In this paper we give explicit factorizations which demonstrate the stable tameness of all polynomial automorphisms arising from a recent construction of Hubbers and van den Essen. This is accomplished by two different factorizations of such an automorphism by triangular automorphisms, one which is concise but requires a large number of additional dimensions, and one which is more intricate but requires fewer dimensions. The stable tameness of automorphisms in this special class aligns with other existing evidence to suggest that all polynomial automorphisms may be stably tame.