Homogeneous locally nilpotent derivations having slices and embeddings of affine spaces

DOI10.1016/j.jalgebra.2008.12.012zbMath1172.14037OpenAlexW2088665035MaRDI QIDQ1018410

Kayo Masuda

Publication date: 19 May 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.12.012

zbMATH Keywords

torus actionlocally nilpotent derivationssliceembeddings problem

Mathematics Subject Classification ID

Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Group actions on affine varieties (14R20) Affine fibrations (14R25)

Cites Work

• Polynomial ring in two variables over a D.V.R.: A criterion
• Polynomial representations of knots
• Flat families of affine lines are affine-line bundles
• The extension of regular and rational embeddings
• Locally polynomial algebras are symmetric algebras
• On flat fibrations by the affine line
• Propriétés topologiques des polynômes de deux variables complexes et automorphismes algébriques de l'espace \(C^2\)
• Polynomial automorphisms and the Jacobian conjecture
• Non-linearizable algebraic \(k^*\)-actions on affine spaces
• On the embedding dimension of an affine variety
• A topological characterisation of the affine plane as an algebraic variety
• Triangular derivations related to problems on affine 𝑛-space
• Extensions of Isomorphisms between Affine Algebraic Subvarieties of k n Automorphisms of k n
• Projective modules over polynomial rings
• Algebraic theory of locally nilpotent derivations
• Families of affine planes: the existence of a cylinder.
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