Uniqueness of \(\mathbb C^*\)- and \(\mathbb{C}_+\)-actions on Gizatullin surfaces

DOI10.1007/s00031-008-9014-0zbMath1154.14046arXiv0706.2261OpenAlexW141500653MaRDI QIDQ941091

Hubert Flenner, Shulim Kaliman, Mikhail Zaidenberg

Publication date: 4 September 2008

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

Full work available at URL: https://arxiv.org/abs/0706.2261

zbMATH Keywords

\(C^*\)-fibration, C-fibrationGizatullin surfaces

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Classification of affine varieties (14R05) Group actions on affine varieties (14R20) Affine fibrations (14R25)

Related Items (8)

Complete algebraic vector fields on Danielewski surfaces ⋮ Embeddings of \({\mathbb{C}^*}\)-surfaces into weighted projective spaces ⋮ Cancellation for Surfaces Revisited ⋮ Smooth affine \(\mathbb{G}_m\)-surfaces with finite Picard groups and trivial units ⋮ Complete intersection surfaces with trivial Makar-Limanov invariant ⋮ Smooth affine surfaces with non-unique ℂ*-actions ⋮ Surfaces with big automorphism groups ⋮ The algebraic density property for affine toric varieties

Cites Work

• Über vierdimensionale Riemannsche Flächen mehrdeutiger analytischer Funktionen von zwei komplexen Veränderlichen. (On four-dimensional Riemann surfaces of many-valued analytic functions of two complex variables)
• Locally nilpotent derivations on affine surfaces with a \(\mathbb C^*\)-action.
• Minimal elements of \(\text{И}(H;p)\) and conjugacy of Levi complements in finite Chevalley groups.
• Affine surfaces with \(AK(S)=\mathbb C\).
• Normal affine surfaces with \(\mathbb{C}^*\)-actions
• On locally nilpotent derivations of \(k[X_{1},X_{2},Y/ (\varphi(Y)-X_{1} X_{2})\). -- Appendix: Rationality of certain affine plane curves.]
• Completions of normal affine surfaces with a trivial Makar-Limanov invariant
• Pinceaux de droites et automorphismes des surfaces affines.
• Open Algebraic Surfaces
• On Log ℚ-Homology Planes and Weighted Projective Planes
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