The ${\rm Jacobian Conjecture}_{2n}$ implies the ${\rm Dixmier Problem}_n$

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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.
3 pages

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Rings and Algebras, Commutative Algebra, Algebraic Geometry, 14R15, 14H37, 16S32

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http://salesiana.dossiersoluciones.com/handle/123456789/106174

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512250
 http://arxiv.org/abs/math/0512250

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arXiv