STABLY CO-TAME POLYNOMIAL AUTOMORPHISMS OVER COMMUTATIVE RINGS

摘要

We say that a polynomial automorphism I center dot in n variables is stably co-tame if the tame subgroup in n variables is contained in the subgroup generated by I center dot and affine automorphisms in n+1 variables. In this paper, we give conditions for stable co-tameness of polynomial automorphisms.