On locally nilpotent derivations of \(k[X_{1},X_{2},Y]/ (\varphi(Y)-X_{1} X_{2})\). -- Appendix: Rationality of certain affine plane curves.
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Publication:1812020
DOI10.1016/S0022-4049(02)00334-1zbMath1077.13013OpenAlexW1488158465MaRDI QIDQ1812020
Publication date: 18 June 2003
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-4049(02)00334-1
Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Plane and space curves (14H50) Derivations and commutative rings (13N15)
Related Items (18)
Locally nilpotent derivations and automorphism groups of certain Danielewski surfaces ⋮ Complete algebraic vector fields on Danielewski surfaces ⋮ On polynomials in three variables annihilated by two locally nilpotent derivations ⋮ Characterizations of hypersurfaces of a Danielewski type ⋮ Holomorphic Lie group actions on Danielewski surfaces ⋮ Families of hypersurfaces with noncancellation property ⋮ On locally nilpotent derivations of Danielewski domains ⋮ Affine surfaces with trivial Makar-Limanov invariant ⋮ Uniqueness of \(\mathbb C^*\)- and \(\mathbb{C}_+\)-actions on Gizatullin surfaces ⋮ Additive group actions on Danielewski varieties and the cancellation problem ⋮ Relations between the leading terms of a polynomial automorphism ⋮ A general class of Danielewski algebras ⋮ Smooth affine surfaces with non-unique ℂ*-actions ⋮ On a class of Danielewski surfaces in affine 3-space ⋮ Automorphisms of $\mathbb{A}^{1}$-fibered affine surfaces ⋮ Locally nilpotent derivations of double Danielewski surfaces ⋮ Rigid Rings and Makar-Limanov Techniques ⋮ On isotropy group of Danielewski surfaces
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