The hypersurface 𝑥+𝑥²𝑦+𝑧²+𝑡³=0 over a field of arbitrary characteristic

DOI10.1090/S0002-9939-05-08171-2zbMath1101.14071MaRDI QIDQ3372109

Anthony J. Crachiola

Publication date: 17 February 2006

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

locally nilpotent derivationadditive group actionAK invariant

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Classification of affine varieties (14R05) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)

Related Items (12)

A note on the cancellation property of k[X, Y] ⋮ On Zariski's cancellation problem in positive characteristic ⋮ Cotangent spaces and separating re-embeddings ⋮ On the triviality of a family of linear hyperplanes ⋮ On generalised Danielewski and Asanuma varieties ⋮ Restricted Gröbner fans and re-embeddings of affine algebras ⋮ On the cancellation problem for the affine space \(\mathbb{A}^{3}\) in characteristic \(p\) ⋮ Some results on retracts of polynomial rings ⋮ Actions of the additive group \(G_a\) on certain noncommutative deformations of the plane ⋮ On double Danielewski surfaces and the cancellation problem ⋮ Exponential maps of a polynomial ring in two variables ⋮ On the family of affine threefolds

Cites Work

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• On the hypersurface \(x+x^2y+z^2+t^3=0\) in \(\mathbb{C}^4\) or a \(\mathbb{C}^3\)-like threefold which is not \(\mathbb{C}^3\)
• On affine-ruled rational surfaces
• On Zariski problem
• Affine surfaces containing cylinderlike open sets
• Affine surfaces with \(AK(S)=\mathbb C\).
• Polynomial automorphisms and the Jacobian conjecture
• On the rigidity of small domains
• ℂ*-actions on ℂ³ are linearizable
• G_a-Action of the Affine Plane
• Newton polytopes of invariants of additive group actions

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