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Abstract: In the recent progress BE1, M, Z1 and Z2, the well-known Jacobianconjecture BCW, E has been reduced to a problem on HN Hessian nilpotentpolynomials the polynomials whose Hessian matrix are nilpotent and theirdeformed inversion pairs. In this paper, we prove several results on HNpolynomials, their deformed inversion pairs as well as the associatedsymmetric polynomial or formal maps. We also propose some open problems forfurther study of these objects.



Autor: Wenhua Zhao

Fuente: https://arxiv.org/







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