Geodesic
The Jacobian conjecture: structure of Keller mappings
Problemy analiza, Tome 8 (2019) no. 3, pp. 152-165

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The Jacobian conjecture was first formulated by O. N. Keller in 1939. In the modern form it supposes injectivity of the polynomial mapping $f: \Bbb R^n \to \Bbb R^n$ ($\Bbb C^n \to \Bbb C^n$) under the assumption that $J_f\equiv const\ne0$. In this paper, we consider the structure of polynomial mappings $f$ with $J_f\equiv const \ne0$.
Keywords: Keller mapping.
Mots-clés : Jacobian conjecture 
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     author = {V. V. Starkov},
     title = {The {Jacobian} conjecture: structure of {Keller} mappings},
     journal = {Problemy analiza},
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V. V. Starkov. The Jacobian conjecture: structure of Keller mappings. Problemy analiza, Tome 8 (2019) no. 3, pp. 152-165. http://geodesic.mathdoc.fr/item/PA_2019_8_3_a14/