Irreducibility Properties of Keller Maps

DOI10.1142/S1005386716000560zbMath1357.14073arXiv1304.0634OpenAlexW2963327471MaRDI QIDQ3179769

Michiel de Bondt, Dan Yan

Publication date: 20 December 2016

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

Full work available at URL: https://arxiv.org/abs/1304.0634

zbMATH Keywords

square-freeirreducibilitypolynomial mappingjacobian problemKeller map

Mathematics Subject Classification ID

Jacobian problem (14R15)

Related Items (5)

An approach to the Jacobian conjecture in terms of irreducibility and square-freeness ⋮ On properties of square-free elements in commutative cancellative monoids ⋮ Analogs of Jacobian conditions for subrings ⋮ On the two-dimensional Jacobian conjecture: Magnus’ formula revisited, III ⋮ Some remarks on the Jacobian Conjecture and Drużkowski mappings

Cites Work

• A Jacobian criterion for separability
• A solution of the problem of van den Essen and Shpilrain
• Some results on the Jacobian conjecture in higher dimension
• Some combinatorial questions about polynomial mappings
• A solution of the problem of van den Essen and Shpilrain. II
• An effective approach to Keller's Jacobian conjecture
• A characterization of Keller maps
• The irreducibility of symmetric Yagzhev maps
• A reduction of the Jacobian Conjecture to the symmetric case
• Endomorphisms of the plane sending linear coordinates to coordinates
• The Jacobian Conjecture: symmetric reduction and solution in the symmetric cubic linear case
• The Jacobian Conjecture for symmetric Drużkowski mappings
• Ganze Cremona-Transformationen

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