The Gaussian moments conjecture and the Jacobian conjecture

DOI10.1007/s11856-017-1502-2zbMath1365.14082arXiv1506.05192OpenAlexW2963485316WikidataQ123277616 ScholiaQ123277616MaRDI QIDQ2627999

Wenhua Zhao, H. G. J. Derksen, A. R. P. van den Essen

Publication date: 9 June 2017

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05192

zbMATH Keywords

Jacobian conjectureGaussian moments conjectureintegral conjecture

Mathematics Subject Classification ID

Jacobian problem (14R15)

Related Items (9)

Idempotents in intersection of the kernel and the image of locally finite derivations and \(\mathcal{E}\)-derivations ⋮ Some open problems on locally finite or locally nilpotent derivations and ℰ-derivations ⋮ The LNED and LFED conjectures for algebraic algebras ⋮ Images of ideals under derivations and ℰ-derivations of univariate polynomial algebras over a field of characteristic zero ⋮ A new class of nilpotent Jacobians in any dimension ⋮ Images of locally nilpotent derivations of polynomial algebras in three variables ⋮ Mathieu-Zhao Spaces and the Jacobian Conjecture ⋮ Some open problems in low dimensional dynamical systems ⋮ Some new theoretical and computational results around the Jacobian conjecture

Cites Work

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• Mathieu subspaces of associative algebras
• Moment vanishing problem and positivity: some examples
• On the image conjecture
• Images of commuting differential operators of order one with constant leading coefficients
• Constant terms in powers of a Laurent polynomial
• Polynomial automorphisms and the Jacobian conjecture
• Generalizations of the image conjecture and the Mathieu conjecture
• Mathieu subspaces of univariate polynomial algebras
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Ganze Cremona-Transformationen

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