On kernels of homogeneous locally nilpotent derivations of \(k[X,Y,Z]\)

zbMATH Open1001.14023MaRDI QIDQ1591245

Daniel Daigle

Publication date: 6 January 2003

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

nilpotent derivationsproduct of an affine curve and the affine line

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Derivations and commutative rings (13N15) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Group actions on affine varieties (14R20)

Related Items (10)

Idempotents in intersection of the kernel and the image of locally finite derivations and \(\mathcal{E}\)-derivations ⋮ ON THE KERNEL OF SOME DERIVATIONS OF ⋮ Locally finite iterative higher derivations on k[x,y] ⋮ Classification of homogeneous locally nilpotent derivations of \(k[x,y,z]\). I: Positive gradings of positive type ⋮ Structure of the kernel of a locally nilpotent derivation on an affine normal domain ⋮ Kernel of locally nilpotent 𝑅-derivations of 𝑅[𝑋,𝑌] ⋮ Some results on the kernels of higher derivations on k[x, y] and k(x, y) ⋮ Some \(K\)-theoretic properties of the kernel of a locally nilpotent derivation on \(k[X_1, \dots , X_4]\) ⋮ Locally nilpotent derivations over a UFD and an application to rank two locally nilpotent derivations of \(k[X_1,\dots,X_n]\) ⋮ A Note on Locally Nilpotent Derivations and Variables of k[X, Y, Z]

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