The Jacobian conjecture: structure of Keller mappings

The Jacobian conjecture: structure of Keller mappings

The Jacobian conjecture was first formulated by O. N. Keller in 1939. In the modern form it supposes injectivity of the polynomial mapping f : R n → R n (C n → C n ) under the assumption that Jf ≡ const 6= 0. In this paper, we consider the structure of polynomial mappings f with Jf ≡ const 6= 0....

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Veröffentlicht in:Issues of analysis 2019-01, Vol.26 (3), p.152-165
1. Verfasser: Starkov, V. V.
Format: Artikel
Sprache:eng
Schlagworte:
jacobian conjecture
keller mapping
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Beschreibung
Zusammenfassung:The Jacobian conjecture was first formulated by O. N. Keller in 1939. In the modern form it supposes injectivity of the polynomial mapping f : R n → R n (C n → C n ) under the assumption that Jf ≡ const 6= 0. In this paper, we consider the structure of polynomial mappings f with Jf ≡ const 6= 0.
ISSN:2306-3432
2306-3424
2306-3432
DOI:10.15393/j3.art.2019.7211