The Jacobian Conjecture for symmetric Drużkowski mappings

• Autorzy: Michiel de Bondt , Arno van den Essen
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 14R10: Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem)
• 14R15: Jacobian problem

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2005
• Tom: 86
• Numer: 1
• Strony: 43-46

Daty

wydano

2005

Twórcy

autor

Michiel de Bondt

• Department of Mathematics, Radboud University of Nijmegen, Postbus 9010, 6500 GL Nijmegen, The Netherlands

autor

Arno van den Essen

• Department of Mathematics, Radboud University of Nijmegen, Postbus 9010, 6500 GL Nijmegen, The Netherlands

Identyfikatory

DOI

10.4064/ap86-1-5