A degree bound for strongly nilpotent polynomial automorphisms

DOI10.1016/j.jalgebra.2022.05.027zbMath1496.14061arXiv2110.12462OpenAlexW3208487017MaRDI QIDQ2161148

Samuel Johnston

Publication date: 4 August 2022

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

Full work available at URL: https://arxiv.org/abs/2110.12462

zbMATH Keywords

Jacobian conjecturepolynomial automorphismstrongly nilpotentformal inversion

Mathematics Subject Classification ID

Jacobian problem (14R15) Polynomial rings and ideals; rings of integer-valued polynomials (13F20)

Cites Work

• Toward a combinatorial proof of the Jacobian conjecture!
• Formal inverse expansion and the Jacobian conjecture
• A Jacobian criterion for separability
• Polynomial automorphisms and the Jacobian conjecture
• On Catalan trees and the Jacobian conjecture
• Incidence algebra antipodes and Lagrange inversion in one and several variables
• Faà di Bruno's formula and inversion of power series
• Polynomial maps with strongly nilpotent Jacobian matrix and the Jacobian conjecture
• The number of trees
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• The formal inverse and the Jacobian Conjecture
• Strong nilpotence holds in dimensions up to five only^∗
• A counterexample to a conjecture of Drużkowski and Rusek

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