Stably co-tame polynomial automorphisms over commutative rings

2016/04/06 by Shigeru Kuroda, Kuroda, Shigeru
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Group Theory (math.GR) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1604.01551

openalex publication_date 2016/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Related

• A new co-tame automorphism of the polynomial ring
• Co-tame polynomial automorphisms
• Stable Tameness of Two-Dimensional Polynomial Automorphisms Over a Regular Ring
• A non-tame and non-co-tame automorphism of the polynomial ring
• Generalisations of the tame automorphisms over a domain of positive characteristic