On quadratic homogeneous quasi-translations

DOI10.1016/j.jpaa.2009.12.034zbMath1197.14063OpenAlexW2070907262MaRDI QIDQ979060

Xiaosong Sun

Publication date: 25 June 2010

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.2009.12.034

zbMATH Keywords

derivationpolynomial automorphismtame automorphismlinearly triangularizable automorphism

Mathematics Subject Classification ID

Jacobian problem (14R15) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Group actions on affine varieties (14R20)

Related Items (6)

Quadratic tame generators problem of rank three ⋮ CLASSIFICATION OF CUBIC HOMOGENEOUS POLYNOMIAL MAPS WITH JACOBIAN MATRICES OF RANK TWO ⋮ On the Strong Nilpotence Problem ⋮ The classification of some polynomial maps with nilpotent Jacobians ⋮ Quadratic homogeneous Keller maps of rank two ⋮ Some co-tame automorphisms of affine spaces

Cites Work

• Unnamed Item
• Polynomial automorphisms and the Jacobian conjecture
• Singular Hessians
• Strong nilpotence holds in dimensions up to five only^∗
• Poisson brackets and two-generated subalgebras of rings of polynomials
• The tame and the wild automorphisms of polynomial rings in three variables
• A reduction of the Jacobian Conjecture to the symmetric case
• Quasi-translations and counterexamples to the Homogeneous Dependence Problem
• Algebraic theory of locally nilpotent derivations

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