Singular Hessians

DOI10.1016/j.jalgebra.2004.08.026zbMath1060.14089OpenAlexW4210565893WikidataQ56019361 ScholiaQ56019361MaRDI QIDQ1888810

Michiel de Bondt, A. R. P. van den Essen

Publication date: 29 November 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.08.026

zbMATH Keywords

polynomialderivationHessian matrix

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Relevant commutative algebra (14A05) Affine geometry (14R99)

Related Items (13)

Homogeneous quasi-translations in dimension 5 ⋮ Quasi-translations and singular Hessians ⋮ On Hamiltonian flows whose orbits are straight lines ⋮ Logarithmic Hesse's problem ⋮ Smooth and singular maximal averages over 2D hypersurfaces and associated Radon transforms ⋮ Two results on homogeneous Hessian nilpotent polynomials ⋮ On the Strong Nilpotence Problem ⋮ Symmetric Jacobians ⋮ On quadratic homogeneous quasi-translations ⋮ On the Theory of Gordan-Noether on Homogeneous Forms with Zero Hessian (Improved Version) ⋮ The strong nilpotency index of a matrix ⋮ Hessian nilpotent polynomials and the Jacobian conjecture ⋮ Polynomials with constant Hessian determinants in dimension three

Cites Work

• \({\mathcal D}_n(A)\) for a class of polynomial automorphisms and stably tameness
• The Jacobian conjecture for symmetric Jacobian matrices.
• Polynomial automorphisms and the Jacobian conjecture
• Nilpotent symmetric Jacobian matrices and the Jacobian conjecture. II
• Nilpotent symmetric Jacobian matrices and the Jacobian conjecture
• G_a actions on c₃ and c₇
• A reduction of the Jacobian Conjecture to the symmetric case

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