A counterexample to a conjecture of Drużkowski and Rusek
Arno van den Essen
Annales Polonici Mathematici, Tome 62 (1995), p. 173-176 / Harvested from The Polish Digital Mathematics Library
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Let F = X + H be a cubic homogeneous polynomial automorphism from ℂn to ℂn. Let p be the nilpotence index of the Jacobian matrix JH. It was conjectured by Drużkowski and Rusek in [4] that degF-1≤3p-1. We show that the conjecture is true if n ≤ 4 and false if n ≥ 5.

Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:262620 
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Arno van den Essen. A counterexample to a conjecture of Drużkowski and Rusek. Annales Polonici Mathematici, Tome 62 (1995) pp. 173-176. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv62z2p173bwm/

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