Document Type
Article
Publication Date
2012
Abstract
In this paper it is established that all two-dimensional polynomial automorphisms over a regular ring R are stably tame. This results from the main theorem of this paper, which asserts that an automorphism in any dimension n is stably tame if said condition holds point-wise over Spec R. 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.
Recommended Citation
Berson, Joost; van den Essen, Arno; and Wright, David, "Stable Tameness of Two-Dimensional Polynomial Automorphisms Over a Regular Ring" (2012). Mathematics Faculty Publications. 5.
https://openscholarship.wustl.edu/math_facpubs/5
Embargo Period
5-29-2012
Comments
Preprint of article which has been published in final form in Advances in Mathematics, 230, issue 4 (2012), 2176-2197. DOI: http://dx.doi.org/10.1016/j.aim.2012.04.017. Copyright © 2012 Elsevier Inc.