Quasi-translations and counterexamples to the Homogeneous Dependence Problem
From MaRDI portal
Publication:5473410
DOI10.1090/S0002-9939-06-08335-3zbMath1107.14054OpenAlexW2160900590WikidataQ125026194 ScholiaQ125026194MaRDI QIDQ5473410
Publication date: 21 June 2006
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08335-3
Jacobian problem (14R15) Derivations and commutative rings (13N15) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)
Related Items
On images of locally finite derivations and \(\mathcal{E}\)-derivations ⋮ Homogeneous quasi-translations in dimension 5 ⋮ Quasi-translations and singular Hessians ⋮ The space of invariant bilinear forms of the polarization algebra of a polynomial endomorphism: an approach to the problem of Albert ⋮ On Hamiltonian flows whose orbits are straight lines ⋮ Polynomial maps with nilpotent Jacobians in dimension three ⋮ A new class of nilpotent Jacobians in any dimension ⋮ Maps that are roots of power series ⋮ On the Strong Nilpotence Problem ⋮ The classification of some polynomial maps with nilpotent Jacobians ⋮ Injectivity and almost global asymptotic stability of Hurwitz vector fields ⋮ Symmetric Jacobians ⋮ Classification of Quadratic Homogeneous Automorphisms in Dimension Five ⋮ Polarization algebras and their relations ⋮ On quadratic homogeneous quasi-translations ⋮ Locally finite polynomial endomorphisms ⋮ The linear dependence problem for power linear maps ⋮ An effective study of polynomial maps ⋮ Pascal finite polynomial automorphisms ⋮ Hypersurfaces with vanishing Hessian via Dual Cayley Trick ⋮ The Jacobian conjecture: Linear triangularization for homogeneous polynomial maps in dimension three ⋮ Nilpotent Jacobians in dimension three
