A few remarks on the generalized vanishing conjecture

DOI10.1007/s00013-013-0523-2zbMath1273.13046arXiv1206.2836OpenAlexW1992436482WikidataQ123267122 ScholiaQ123267122MaRDI QIDQ354678

Michiel de Bondt

Publication date: 19 July 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.2836

zbMATH Keywords

Weyl algebradifferential operatorJacobian conjecturegeneralized vanishing conjecture

Mathematics Subject Classification ID

Jacobian problem (14R15) Commutative rings of differential operators and their modules (13N10) Differential algebra (12H05) Differential operators in several variables (32W99)

Related Items (2)

On the generalized vanishing conjecture ⋮ Mathieu-Zhao Spaces and the Jacobian Conjecture

Cites Work

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• Mathieu subspaces of associative algebras
• Inversion problem, Legendre transform and inviscid Burgers equations
• Two results on homogeneous Hessian nilpotent polynomials
• Polynomial automorphisms and the Jacobian conjecture
• Some results on the vanishing conjecture of differential operators with constant coefficients
• A vanishing conjecture on differential operators with constant coefficients
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Hessian nilpotent polynomials and the Jacobian conjecture
• A reduction of the Jacobian Conjecture to the symmetric case

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