Stable tameness of two-dimensional polynomial automorphisms over a regular ring

@inproceedings{Berson2012StableTO,
  title={Stable tameness of two-dimensional polynomial automorphisms over a regular ring},
  author={Joost Berson and Arno van den Essen and David Wright},
  year={2012}
}
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 SpecR. 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… CONTINUE READING

Topics from this paper.

References

Publications referenced by this paper.
SHOWING 1-10 OF 15 REFERENCES

A generalization of the Shestakov-Umirbaev inequality

  • Shigeru Kuroda
  • J. Math. Soc. Japan
  • 2008
1 Excerpt

Vénéreau, The special automorphism group of R[t]/(t)[x1

  • Arno van den Essen, S. Maubach
  • xn], J. of Pure and Appl. Alg
  • 2007
1 Excerpt

Umirbaev, Poisson brackets and twogenerated subalgebras of rings of polynomials

  • Ivan P. Shestakov, U Ualbai
  • J. Amer. Math. Soc
  • 2004
1 Excerpt

Similar Papers

Loading similar papers…