Homogeneization of locally nilpotent derivations and an application to \(k[X,Y,Z]\)

DOI10.1016/j.jpaa.2004.08.006zbMath1087.13014OpenAlexW2044147924MaRDI QIDQ1770539

Zhi-qing Wang

Publication date: 7 April 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.08.006

zbMATH Keywords

polynomial ringlocally nilpotent derivationassociated homogeneous derivation

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Derivations and commutative rings (13N15) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)

Related Items

Nice derivations over principal ideal domains, Quasi-translations and singular Hessians, Triangular derivations of \(\mathbf k[X,Y,Z\)], The strong nilpotency index of a matrix

Cites Work

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• Non-complete algebraic surfaces
• Locally nilpotent derivations over a UFD and an application to rank two locally nilpotent derivations of \(k[X_1,\dots,X_n\)]
• Polynomial flows in the plane: A classification based on spectra of derivations
• Triangulability criteria for additive group actions on affine space