Deformations of $$\mathbb{A}^{1}$$ -Fibrations

DOI10.1007/978-3-319-05681-4_19zbMath1326.14146arXiv1403.6930OpenAlexW2559529986MaRDI QIDQ2948952

Kayo Masuda, Rajendra Vasant Gurjar, Masayoshi Miyanishi

Publication date: 7 October 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.6930

Mathematics Subject Classification ID

Group actions on affine varieties (14R20) Affine fibrations (14R25)

Related Items (4)

Affine threefolds with \(\mathbb{A}^{2}\)-fibrations ⋮ Deformations of \(\mathbb {A}^1\)-cylindrical varieties ⋮ Cylinders in Fano varieties ⋮ FAMILIES OF AFFINE RULED SURFACES: EXISTENCE OF CYLINDERS

Cites Work

• Polynomial ring in two variables over a D.V.R.: A criterion
• Flat families of affine lines are affine-line bundles
• On the absence of nontrivial separable forms of the affine plane
• On deformations of compactifiable complex manifolds
• On flat fibrations by the affine line
• The intermediate Jacobian of the cubic threefold
• A topological characterisation of the affine plane as an algebraic variety
• Affine pseudo-coverings of algebraic surfaces
• Surjective derivations in small dimensions
• An Algebro-Topological Characterization of the Affine Space of Dimension Three
• Log-uniruled affine varieties without cylinder-like open subsets
• Affine Lines on Affine Surfaces and the Makar–Limanov Invariant
• On Stability of Compact Submanifolds of Complex Manifolds
• Families of affine planes: the existence of a cylinder.
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