The ${\rm Jacobian Conjecture}_{2n}$ implies the ${\rm Dixmier Problem}_n$
Rings and Algebras
2007-05-23 v1 Commutative Algebra
Algebraic Geometry
Abstract
Using the author's inversion formula for automorphisms of the Weyl algebras with polynomial coefficients and the bound on its degree a slightly shorter (algebraic) proof is given of the result of A. Belov-Kanel and M. Kontsevich that the Jacobian Conjecture implies the Dixmier Proplem. No originality is claimed.
Cite
@article{arxiv.math/0512250,
title = {The ${\rm Jacobian Conjecture}_{2n}$ implies the ${\rm Dixmier Problem}_n$},
author = {V. V. Bavula},
journal= {arXiv preprint arXiv:math/0512250},
year = {2007}
}
Comments
3 pages