The Jacobian Conjecture for symmetric Drużkowski mappings
Michiel de Bondt ; Arno van den Essen
Annales Polonici Mathematici, Tome 85 (2005), p. 43-46 / Harvested from The Polish Digital Mathematics Library
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Let k be an algebraically closed field of characteristic zero and F:=x+(Ax)*d:kⁿ→kⁿ a Drużkowski mapping of degree ≥ 2 with det JF = 1. We classify all such mappings whose Jacobian matrix JF is symmetric. It follows that the Jacobian Conjecture holds for these mappings.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:280408 
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Michiel de Bondt; Arno van den Essen. The Jacobian Conjecture for symmetric Drużkowski mappings. Annales Polonici Mathematici, Tome 85 (2005) pp. 43-46. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap86-1-5/