Stable Tameness of Two-Dimensional Polynomial Automorphisms Over a Regular Ring
Commutative Algebra
2012-04-20 v9 Algebraic Geometry
Abstract
In this paper it is established that all two-dimensional polynomial automorphisms over a regular ring R are stably tame. In the case R is a Dedekind Q-algebra, some stronger results are obtained. A key element in the proof is a theorem which yields the following corollary: Over an Artinian ring A all two-dimensional polynomial automorphisms having Jacobian determinant one are stably tame, and are tame if A is a Q-algebra. Another crucial ingredient, of interest in itself, is that stable tameness is a local property: If an automorphism is locally tame, then it is stably tame.
Cite
@article{arxiv.0707.3151,
title = {Stable Tameness of Two-Dimensional Polynomial Automorphisms Over a Regular Ring},
author = {Joost Berson and Arno van den Essen and David Wright},
journal= {arXiv preprint arXiv:0707.3151},
year = {2012}
}
Comments
18 pages