Determining local triviality ofGaactions

DOI10.1080/00927879908826608zbMath0930.14030OpenAlexW1963942456MaRDI QIDQ4254216

David R. Finston, James K. Deveney

Publication date: 14 February 2000

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

Full work available at URL: https://doi.org/10.1080/00927879908826608

zbMATH Keywords

algorithmlocally trivial regular actionregular action of additive group

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Actions of groups on commutative rings; invariant theory (13A50) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Transcendental field extensions (12F20)

Related Items (1)

Local triviality of proper \(G_a\) actions

Cites Work

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• On some properties of locally nilpotent derivations
• A non-triangular action of \({\mathbb{G}}_ a\) on \({\mathbb{A}}^ 3\)
• On free holomorphic \({\mathbb{C}}\)-actions on \({\mathbb{C}}^ n\) and homogeneous Stein manifolds
• An algorithm to compute the invariant ring of a \(G_ a\)-action on an affine variety
• Quotient spaces modulo reductive algebraic groups
• G_a actions on Cⁿ
• G_a actions on c₃ and c₇

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