On some properties of locally nilpotent derivations

DOI10.1016/0022-4049(95)00173-5zbMath0885.13003OpenAlexW2040696824MaRDI QIDQ674448

Daniel Daigle

Publication date: 20 April 1998

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

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00173-5

zbMATH Keywords

locally nilpotent derivationsalmost smooth morphisms

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Morphisms of commutative rings (13B10) Integral domains (13G05) Differential algebra (12H05)

Related Items (15)

Determining local triviality ofG_aactions ⋮ On the recognition problem of quasi-homogeneous locally nilpotent derivations in dimension three ⋮ Locally nilpotent derivations and automorphism groups of certain Danielewski surfaces ⋮ On polynomials in three variables annihilated by two locally nilpotent derivations ⋮ Actions of \(G_a\) on \(\mathbb{A}^3\) defined by homogeneous derivations ⋮ Analogs of Jacobian conditions for subrings ⋮ Affine threefolds admitting \(G_a\)-actions ⋮ Irreducible Jacobian derivations in positive characteristic ⋮ Closed polynomials and their applications for computations of kernels of monomial derivations ⋮ A note on a class of rings found as \(G_a\)-invariants for locally trivial actions on normal affine varieties ⋮ Homogeneization of locally nilpotent derivations and an application to \(k[X,Y,Z\)] ⋮ On Lie algebras consisting of locally nilpotent derivations ⋮ Homogeneous locally nilpotent derivations of \(k[X,Y,Z\)] ⋮ Locally nilpotent derivations and the structure of rings ⋮ Surjectivity of quotient maps for algebraic \((\mathbb{C},+)\)-actions and polynomial maps with contractible fibers

Cites Work

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• A non-triangular action of \({\mathbb{G}}_ a\) on \({\mathbb{A}}^ 3\)
• On the absence of nontrivial separable forms of the affine plane
• Rings and fields of constants for derivations in characteristic zero
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Fields of G_a Invariants are Ruled
• A note on the kernel of a locally nilpotent derivation

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