Mathieu-Zhao Spaces and the Jacobian Conjecture

DOI10.1007/978-3-030-42136-6_14zbMath1455.14122OpenAlexW3013848619MaRDI QIDQ4964387

A. R. P. van den Essen

Publication date: 25 February 2021

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-42136-6_14

zbMATH Keywords

Jacobian conjectureMathieu subspaceideal theory

Mathematics Subject Classification ID

Jacobian problem (14R15) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings of differential operators and their modules (13N10)

Related Items (1)

Images of locally finite \(\mathcal{E} \)-derivations of bivariate polynomial algebras

Cites Work

• Unnamed Item
• A few remarks on the generalized vanishing conjecture
• Moment vanishing problem and positivity: some examples
• On the image conjecture
• Two results on homogeneous Hessian nilpotent polynomials
• Images of commuting differential operators of order one with constant leading coefficients
• Keller's problem
• Constant terms in powers of a Laurent polynomial
• Generalizations of the image conjecture and the Mathieu conjecture
• A vanishing conjecture on differential operators with constant coefficients
• The Gaussian moments conjecture and the Jacobian conjecture
• New proofs for the Abhyankar-Gurjar inversion formula and the equivalence of the Jacobian conjecture and the vanishing conjecture
• 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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