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A reduction of the Jacobian Conjecture to the symmetric case |
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| Authors: | Michiel de Bondt Arno van den Essen |
| Affiliation: | Department of Mathematics, Radboud University of Nijmegen, Postbus 9010, 6500 GL Nijmegen, The Netherlands ; Department of Mathematics, Radboud University of Nijmegen, Postbus 9010, 6500 GL Nijmegen, The Netherlands |
| Abstract: | The main result of this paper asserts that it suffices to prove the Jacobian Conjecture for all polynomial maps of the form  , where  is homogeneous (of degree 3) and  is nilpotent and symmetric. Also a 6-dimensional counterexample is given to a dependence problem posed by de Bondt and van den Essen (2003). |
| Keywords: | Jacobian Conjecture Hessian Conjecture dependence problems |
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