The Jacobian conjecture for symmetric Jacobian matrices.

DOI10.1016/j.jpaa.2003.10.020zbMath1050.14059OpenAlexW1999171030WikidataQ122910914 ScholiaQ122910914MaRDI QIDQ1434768

Sherwood Washburn, A. R. P. van den Essen

Publication date: 12 July 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2003.10.020

zbMATH Keywords

Jacobian conjecturepolynomial mappings

Mathematics Subject Classification ID

Jacobian problem (14R15)

Related Items (11)

Nilpotent symmetric Jacobian matrices and the Jacobian conjecture ⋮ Singular Hessians ⋮ A package of procedures and functions for construction and inversion of analytic mappings with unit Jacobian ⋮ Graphs and the Jacobian conjecture ⋮ Legendre transform, Hessian conjecture and tree formula ⋮ Nilpotent symmetric Jacobian matrices and the Jacobian conjecture. II ⋮ Inversion problem, Legendre transform and inviscid Burgers equations ⋮ A reduction of the Jacobian Conjecture to the symmetric case ⋮ The Starred Dixmier Conjecture forA₁ ⋮ Hessian nilpotent polynomials and the Jacobian conjecture ⋮ Polynomials with constant Hessian determinants in dimension three

Cites Work

• Keller's problem
• On the degree of the inverse of an automorphism of the affine space
• Polynomial automorphisms and the Jacobian conjecture
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• The jacobian conjecture: linear triangularizatlon for cubics in dimension three

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