The ${\rm Jacobian Conjecture}_{2n}$ implies the ${\rm Dixmier Problem}_n$
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- December 2005
- DOI:
- arXiv:
- arXiv:math/0512250
- Bibcode:
- 2005math.....12250B
- Keywords:
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- Mathematics - Rings and Algebras;
- Mathematics - Commutative Algebra;
- Mathematics - Algebraic Geometry;
- 14R15;
- 14H37;
- 16S32
- E-Print:
- 3 pages