Homogeneous quasi-translations in dimension 5

DOI10.1007/s13366-017-0358-2zbMath1403.14094arXiv1501.04845OpenAlexW1511881749WikidataQ59482839 ScholiaQ59482839MaRDI QIDQ1646653

Michiel de Bondt

Publication date: 25 June 2018

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.04845

zbMATH Keywords

Hessianlinear dependencealgebraic dependencelocally nilpotent derivationhomogeneousquasi-translationdeterminant zero

Mathematics Subject Classification ID

Classification of affine varieties (14R05) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Group actions on affine varieties (14R20)

Related Items (5)

Quasi-translations and singular Hessians ⋮ Perazzo hypersurfaces and the weak Lefschetz property ⋮ Perazzo 3-folds and the weak Lefschetz property ⋮ On mixed Hessians and the Lefschetz properties ⋮ On the Theory of Gordan-Noether on Homogeneous Forms with Zero Hessian (Improved Version)

Cites Work

• On the geometry of some special projective varieties
• Homaloidal hypersurfaces and hypersurfaces with vanishing Hessian
• A geometrical approach to Gordan-Noether's and Franchetta's contributions to a question posed by Hesse
• The red book of varieties and schemes. Includes the Michigan lectures (1974) on ``Curves and their Jacobians.
• A new class of invertible polynomial maps
• Polynomial automorphisms and the Jacobian conjecture
• When does the Hessian determinant vanish identically? (On Gordan and Noether's proof of Hesse's claim)
• Singular Hessians
• The Jacobian conjecture: Linear triangularization for homogeneous polynomial maps in dimension three
• Quasi-translations and counterexamples to the Homogeneous Dependence Problem
• The strong nilpotency index of a matrix
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