On the group of automorphisms of a surface \(x^ny= P(z)\)
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Publication:5937672
DOI10.1007/BF02802499zbMath0980.14030OpenAlexW1996571919MaRDI QIDQ5937672
Publication date: 6 August 2001
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02802499
AK-invariantautomorphism group of affine hypersurfaceautomorphism group of an algebralocally nilpotent derivation
Hypersurfaces and algebraic geometry (14J70) Automorphisms of surfaces and higher-dimensional varieties (14J50) Automorphism groups of (mathbb{C}^n) and affine manifolds (32M17)
Related Items (35)
On the characterization of Danielewski surfaces by their automorphism groups ⋮ Completions of normal affine surfaces with a trivial Makar-Limanov invariant ⋮ On weighted degree for polynomial rings ⋮ Locally nilpotent derivations and automorphism groups of certain Danielewski surfaces ⋮ Locally nilpotent derivations of rings with roots adjoined ⋮ Automorphisms of Danielewski varieties ⋮ Embeddings of a family of Danielewski hypersurfaces and certain \(\mathbb C^+\)-actions on \(\mathbb C^3\) ⋮ Cancellation for Surfaces Revisited ⋮ Automorphisms of affine Veronese surfaces ⋮ Holomorphic Lie group actions on Danielewski surfaces ⋮ Affine threefolds admitting \(G_a\)-actions ⋮ Families of hypersurfaces with noncancellation property ⋮ Affine homogeneous varieties and suspensions ⋮ On locally nilpotent derivations of Danielewski domains ⋮ The freeness property for locally nilpotent derivations of \(R^{[2}\)] ⋮ Modified Makar-Limanov and Derksen invariants ⋮ Classification(s) of Danielewski hypersurfaces ⋮ The automorphism group of certain factorial threefolds and a cancellation problem ⋮ Holomorphic automorphisms of Danielewski surfaces. II: Structure of the overshear group ⋮ Additive group actions on Danielewski varieties and the cancellation problem ⋮ Closed polynomials and their applications for computations of kernels of monomial derivations ⋮ On the rigidity of small domains ⋮ On polynomial automorphisms of spheres ⋮ On automorphisms of Danielewski surfaces ⋮ The cylinder over the Koras-Russell cubic threefold has a trivial Makar-Limanov invariant ⋮ A general class of Danielewski algebras ⋮ On locally nilpotent derivations of \(k[X_{1},X_{2},Y/ (\varphi(Y)-X_{1} X_{2})\). -- Appendix: Rationality of certain affine plane curves.] ⋮ Flexibility of normal affine horospherical varieties ⋮ On a class of Danielewski surfaces in affine 3-space ⋮ Holomorphic automorphisms of Danielewski surfaces I — density of the group of overshears ⋮ Locally nilpotent derivations of double Danielewski surfaces ⋮ Rigid Rings and Makar-Limanov Techniques ⋮ On isotropy group of Danielewski surfaces ⋮ A note on the stable equivalence problem ⋮ On the family of affine threefolds
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