Centralizers of locally nilpotent derivations

DOI10.1016/S0022-4049(96)00064-3zbMath0890.14027MaRDI QIDQ1366715

David R. Finston, Sebastian Walcher

Publication date: 25 June 1998

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

zbMATH Keywords

locally nilpotent derivationpolynomial flow\(G_ a\)-actiontriangulable action

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Group actions on varieties or schemes (quotients) (14L30) Dynamics induced by flows and semiflows (37C10) Modules of differentials (13N05)

Related Items (6)

Centralizers of linear and locally nilpotent derivations ⋮ Triangulable locally nilpotent derivations in dimension three ⋮ On sums of vector fields ⋮ Locally nilpotent derivations of factorial domains ⋮ On a class of additive group actions on affine three-space ⋮ On isotropy group of Danielewski surfaces

Cites Work

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• Locally nilpotent derivations over a UFD and an application to rank two locally nilpotent derivations of \(k[X_1,\dots,X_n\)]
• An algorithm to compute the invariant ring of a \(G_ a\)-action on an affine variety
• Fields of G_a Invariants are Ruled
• G_a actions on Cⁿ

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