On the equivalence of the Jacobian, Dixmier and Poisson Conjectures in any characteristic

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Thanks to recent results on ring homomorphisms of Azumaya algebras and to the following ones about endomorphisms of canonical Poisson algebras and Dirac quantum algebras, and about the reformulation in positive characteristic of these conjectures in characteristic zero, we prove the equivalence of these three conjectures in any characteristic, giving also by this way a new proof of the equivalence of the complex version of the two first conjectures recently proved by Y. Tsuchimoto.

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Algebraic Geometry, Rings and Algebras, 14R15; 16W20

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http://salesiana.dossiersoluciones.com/handle/123456789/115231

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608009
 http://arxiv.org/abs/math/0608009

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arXiv