Quadratic tame generators problem of rank three

DOI10.1016/j.laa.2019.10.020zbMath1437.14065OpenAlexW2985789950WikidataQ126842497 ScholiaQ126842497MaRDI QIDQ2174401

Xiaosong Sun, Michiel de Bondt

Publication date: 21 April 2020

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2019.10.020

zbMATH Keywords

tame generators problemnilpotent Jacobian matricesKeller mapsRusek's conjecture

Mathematics Subject Classification ID

Jacobian problem (14R15) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)

Related Items (1)

Some co-tame automorphisms of affine spaces

Cites Work

• Unnamed Item
• Multidegrees of tame automorphisms in dimension three
• Shestakov-Umirbaev reductions and Nagata's conjecture on a polynomial automorphism
• On quadratic homogeneous quasi-translations
• Automorphisms of a polynomial ring which admit reductions of type I
• A Jacobian criterion for separability
• The Jacobian conjecture in case of rank or corank less than three
• Polynomial automorphisms and the Jacobian conjecture
• Quadratic polynomial maps with Jacobian rank two
• Mathieu subspaces of codimension less than n of Mat_n(K)
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Strong nilpotence holds in dimensions up to five only^∗
• The tame and the wild automorphisms of polynomial rings in three variables
• Classification of Quadratic Homogeneous Automorphisms in Dimension Five

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