This article is cited in 2 papers

The Jacobian conjecture: structure of Keller mappings

V. V. Starkov

Petrozavodsk State University, 33 Lenina pr., Petrozavodsk 185910, Russia

Abstract: 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: Jacobian conjecture, Keller mapping.

UDC: 517.28, 517.54, 517.41

MSC: 14R15

Received: 23.08.2019
Revised: 25.10.2019
Accepted: 25.10.2019

Language: English

DOI: 10.15393/j3.art.2019.7211

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