Geodesic
The Jacobian Conjecture for symmetric Drużkowski mappings
Michiel de Bondt1 ; Arno van den Essen1
1 Department of Mathematics Radboud University of Nijmegen Postbus 9010 6500 GL Nijmegen, The Netherlands
Annales Polonici Mathematici, Tome 86 (2005) no. 1, pp. 43-46

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $k$ be an algebraically closed field of characteristic zero and $F:=x+(Ax)^{*d}:k^n\rightarrow k^n$ a Drużkowski mapping of degree $\geq 2$ with $\mathop {\rm det}\nolimits JF=1$. We classify all such mappings whose Jacobian matrix $JF$ is symmetric. It follows that the Jacobian Conjecture holds for these mappings.
DOI : 10.4064/ap86-1-5
Keywords: algebraically closed field characteristic zero *d rightarrow dru kowski mapping degree geq mathop det nolimits classify mappings whose jacobian matrix symmetric follows jacobian conjecture holds these mappings

Michiel de Bondt 1 ; Arno van den Essen 1

1 Department of Mathematics Radboud University of Nijmegen Postbus 9010 6500 GL Nijmegen, The Netherlands 
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Michiel de Bondt; Arno van den Essen. The Jacobian Conjecture for
 symmetric Drużkowski mappings. Annales Polonici Mathematici, Tome 86 (2005) no. 1, pp. 43-46. doi: 10.4064/ap86-1-5

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