Geometrically pure \(G_a\)-actions

DOI10.1016/J.JALGEBRA.2024.02.041MaRDI QIDQ6489377

Masayoshi Miyanishi

Publication date: 21 April 2024

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

zbMATH Keywords

locally nilpotent derivation\(\mathbb{A}^1\)-fibrationgeometric quotientpure subalgebraadditive group schemealgebraic characterization of \(\mathbb{A}^3\)geometrically pure

Mathematics Subject Classification ID

Classification of affine varieties (14R05) Group actions on affine varieties (14R20)

Cites Work

• \(\mathbb A^1\)-fibrations on affine threefolds
• A non-triangular action of \({\mathbb{G}}_ a\) on \({\mathbb{A}}^ 3\)
• On flat fibrations by the affine line
• Free \(\mathbb{C}_+\)-actions on \(\mathbb{C}^3\) are translations
• On the cohomologies of commutative affine group schemes
• Quotient spaces modulo reductive algebraic groups
• PURE SUBRINGS OF COMMUTATIVE RINGS
• Geometric Invariant Theory
• Open Algebraic Surfaces
• A pure subalgebra of a finitely generated algebra is finitely generated
• Algebraic theory of locally nilpotent derivations

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