Stable Tameness of Two-Dimensional Polynomial Automorphisms Over a Regular Ring

Details Stable Tameness of Two-Dimensional Polynomial Automorphisms Over a Regular Ring Stable Tameness of Two-Dimensional Polynomial Automorphisms Over a Regular Ring

2007-07-23

arxiv.org/abs/0707.3151v10

Mathematics

Commutative Algebra

18 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Stable Tameness of Two-Dimensional Polynomial Automorphisms Over a Regular Ring does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Stable Tameness of Two-Dimensional Polynomial Automorphisms Over a Regular Ring, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stable Tameness of Two-Dimensional Polynomial Automorphisms Over a Regular Ring will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-109095