On the generalized vanishing conjecture

DOI10.21136/CMJ.2019.0049-18WikidataQ122916473 ScholiaQ122916473MaRDI QIDQ5206458

Zhen Zhen Feng, Xiaosong Sun

Publication date: 18 December 2019

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.04563

zbMATH Keywords

differential operatorJacobian conjecturegeneralized vanishing conjecture

Mathematics Subject Classification ID

Jacobian problem (14R15) Derivations and commutative rings (13N15)

Related Items (1)

Images of locally nilpotent derivations of polynomial algebras in three variables

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A few remarks on the generalized vanishing conjecture
• On the image conjecture
• Two results on homogeneous Hessian nilpotent polynomials
• Images of commuting differential operators of order one with constant leading coefficients
• Polynomial automorphisms and the Jacobian conjecture
• Monomial preserving derivations and Mathieu-Zhao subspaces
• Nilpotent symmetric Jacobian matrices and the Jacobian conjecture. II
• Nilpotent symmetric Jacobian matrices and the Jacobian conjecture
• Some results on the vanishing conjecture of differential operators with constant coefficients
• Endomorphisms of Weyl algebra and \(p\)-curvatures.
• Images of derivations of polynomial algebras with divergence zero
• A proof of the equivalence of the Dixmier, Jacobian and Poisson conjectures
• A vanishing conjecture on differential operators with constant coefficients
• Legendre transform, Hessian conjecture and tree formula
• 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
• IMAGES OF HIGHER-ORDER DIFFERENTIAL OPERATORS OF POLYNOMIAL ALGEBRAS

This page was built for publication: On the generalized vanishing conjecture