Classification(s) of Danielewski hypersurfaces

DOI10.1007/s00031-011-9146-5zbMath1229.14041arXiv0912.3241OpenAlexW2951131159MaRDI QIDQ649074

Pierre-Marie Poloni

Publication date: 30 November 2011

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.3241

zbMATH Keywords

automorphism groupsDanielewski hypersurfacesembeddings fo hypersurfaces

Mathematics Subject Classification ID

Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)

Related Items (8)

Fake real planes: exotic affine algebraic models of \(\mathbb {R}^{2}\) ⋮ Automorphisms of Danielewski varieties ⋮ Cancellation for Surfaces Revisited ⋮ The freeness property for locally nilpotent derivations of \(R^{[2}\)] ⋮ Simple examples of affine manifolds with infinitely many exotic models ⋮ A general class of Danielewski algebras ⋮ (Volume) density property of a family of complex manifolds including the Koras-Russell cubic threefold ⋮ Affine varieties with exotic models

Cites Work

• Unnamed Item
• Embeddings of a family of Danielewski hypersurfaces and certain \(\mathbb C^+\)-actions on \(\mathbb C^3\)
• On a class of Danielewski surfaces in affine 3-space
• On complex affine surfaces with \(\mathbb{C}^ +\)-action
• Locally nilpotent derivations and Danielewski surfaces
• Embeddings of Danielewski surfaces
• Polynomial automorphisms and the Jacobian conjecture
• On automorphisms of Danielewski surfaces
• On the cancellation problem for surfaces
• On the group of automorphisms of a surface \(x^ny= P(z)\)

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