Counterexamples to the complement problem

DOI10.4171/CMH/464zbMath1441.14202arXiv1605.05169OpenAlexW2976022722WikidataQ124835623 ScholiaQ124835623MaRDI QIDQ2337227

Pierre-Marie Poloni

Publication date: 19 November 2019

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.05169

zbMATH Keywords

affine algebraic geometryDanielewski surfacescomplements of hypersurfaces

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Automorphism groups of (mathbb{C}^n) and affine manifolds (32M17)

Cites Work

• Unnamed Item
• Embeddings of a family of Danielewski hypersurfaces and certain \(\mathbb C^+\)-actions on \(\mathbb C^3\)
• On open algebraic surfaces \({\mathbb{P}}^ 2-C\)
• There exist inequivalent knots with the same complement
• Exceptional isomorphisms between complements of affine plane curves
• A note on the stable equivalence problem
• The correspondence between a plane curve and its complement
• Knots are Determined by Their Complements

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