On the Strong Nilpotence Problem

DOI10.1142/S100538671400008XzbMath1312.14136OpenAlexW2096914961MaRDI QIDQ5396031

Xiaosong Sun

Publication date: 5 February 2014

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

Full work available at URL: https://doi.org/10.1142/s100538671400008x

zbMATH Keywords

polynomial mapstame automorphismslinearly triangularizablestrongly nilpotent

Mathematics Subject Classification ID

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

Related Items

Linearly triangularizable quadratic endomorphisms ⋮ Triangularization of Matrices and Polynomial Maps

Cites Work

• On quadratic homogeneous quasi-translations
• A Jacobian criterion for separability
• Singular Hessians
• Polynomial maps with strongly nilpotent Jacobian matrix and the Jacobian conjecture
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Strong nilpotence holds in dimensions up to five only^∗
• The jacobian conjecture: linear triangularizatlon for cubics in dimension three
• Poisson brackets and two-generated subalgebras of rings of polynomials
• The tame and the wild automorphisms of polynomial rings in three variables
• Quasi-translations and counterexamples to the Homogeneous Dependence Problem