Log-uniruled affine varieties without cylinder-like open subsets

DOI10.24033/bsmf.2692zbMath1327.14196arXiv1212.0521OpenAlexW2962883834MaRDI QIDQ5255633

Takashi Kishimoto, Adrien Dubouloz

Publication date: 16 June 2015

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.0521

zbMATH Keywords

additive group actionsaffine ruled varietiescylindrical open subsetlog-uniruled varieties

Mathematics Subject Classification ID

Fibrations, degenerations in algebraic geometry (14D06) Automorphisms of surfaces and higher-dimensional varieties (14J50) Affine fibrations (14R25) Rationality questions in algebraic geometry (14E08)

Related Items (9)

Deformations of $$\mathbb{A}^{1}$$ -Fibrations ⋮ Remark on Deformations of Affine Surfaces with $$\mathbb{A}^{1}$$ -Fibrations ⋮ Deformations of \(\mathbb {A}^1\)-cylindrical varieties ⋮ \( \mathbb{A}^1\)-connected components and characterisation of \(\mathbb{A}^2\) ⋮ Cylinders in Fano varieties ⋮ 𝔸1-contractibility of affine modifications ⋮ FAMILIES OF AFFINE RULED SURFACES: EXISTENCE OF CYLINDERS ⋮ Affine surfaces with isomorphic \(\mathbb{A}^2\)-cylinders ⋮ Super-rigid affine Fano varieties

Cites Work

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• Birationally rigid hypersurfaces
• The intermediate Jacobian of the cubic threefold
• Group actions on affine cones
• Rational curves on quasi-projective surfaces
• The Varieties of Tangent Lines to Hypersurfaces in Projective Spaces
• Birationally rigid Fano varieties
• Algebraic theory of locally nilpotent derivations
• The structure of algebraic embeddings of \(\mathbb{C}^2\) into \(\mathbb{C}^3\) (the normal quartic hypersurface case. I)
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