Embeddings of a family of Danielewski hypersurfaces and certain \(\mathbb C^+\)-actions on \(\mathbb C^3\)

DOI10.5802/aif.2220zbMath1120.14056OpenAlexW1206568286MaRDI QIDQ877528

Pierre-Marie Poloni, Lucy Moser-Jauslin

Publication date: 24 April 2007

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2006__56_5_1567_0

zbMATH Keywords

algebraic embeddingsstable equivalenceDanielewski surfacesequivalence of polynomials

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Classification of affine varieties (14R05) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Group actions on affine varieties (14R20)

Related Items (9)

On polynomials in three variables annihilated by two locally nilpotent derivations ⋮ Cancellation for Surfaces Revisited ⋮ Classification(s) of Danielewski hypersurfaces ⋮ Simple examples of affine manifolds with infinitely many exotic models ⋮ On a class of Danielewski surfaces in affine 3-space ⋮ Noncancellation for contractible affine threefolds ⋮ Affine varieties with exotic models ⋮ Counterexamples to the complement problem ⋮ A note on the stable equivalence problem

Cites Work

• On complex affine surfaces with \(\mathbb{C}^ +\)-action
• Embeddings of Danielewski surfaces
• Affine varieties with equivalent cylinders
• The stable equivalence and cancellation problems
• Danielewski-Fieseler surfaces
• On the group of automorphisms of a surface \(x^ny= P(z)\)
• Embeddings of hypersurfaces in affine spaces.

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