\(\mathbb A^1\)-fibrations on affine threefolds
From MaRDI portal
Publication:659866
DOI10.1016/j.jpaa.2011.06.013zbMath1237.14073OpenAlexW1966786270MaRDI QIDQ659866
Masayoshi Miyanishi, Rajendra Vasant Gurjar, Kayo Masuda
Publication date: 24 January 2012
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jpaa.2011.06.013
Derivations and commutative rings (13N15) Group actions on affine varieties (14R20) Affine fibrations (14R25)
Related Items (9)
Automorphisms of the affine 3-space of degree 3 ⋮ Affine threefolds with \(\mathbb{A}^{2}\)-fibrations ⋮ Affine threefolds admitting \(G_a\)-actions ⋮ When is the automorphism group of an affine variety nested? ⋮ Affine Space Fibrations ⋮ Some recent results in the area of non-complete algebraic varieties ⋮ Zariski's finiteness theorem and properties of some rings of invariants ⋮ Equivariant extensions of $\mathbb{G}_a$-torsors over punctured surfaces ⋮ Log-uniruled affine varieties without cylinder-like open subsets
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Automorphisms of affine surfaces with \(\mathbb A^1\)-fibrations
- Regular \(G_a\) invariants.
- An infinitely generated symbolic blow-up in a power series ring and a new counterexample to Hilbert's fourteenth problem
- A remark on the unique factorization theorem
- Locally nilpotent derivations on modules
- On free holomorphic \({\mathbb{C}}\)-actions on \({\mathbb{C}}^ n\) and homogeneous Stein manifolds
- Test elements, retracts and automorphic orbits.
- Flat families of affine lines are affine-line bundles
- Rings of constants for \(k\)-derivations in \(k[x_ 1,\dots ,x_ n\)]
- The topology of normal singularities of an algebraic surface and a criterion for simplicity
- Non-complete algebraic surfaces
- Singularities of normal affine surfaces containing cylinderlike open sets
- Retracts of polynomial rings
- Locally polynomial algebras are symmetric algebras
- On flat fibrations by the affine line
- Surjectivity of quotient maps for algebraic \((\mathbb{C},+)\)-actions and polynomial maps with contractible fibers
- Free \(\mathbb{C}_+\)-actions on \(\mathbb{C}^3\) are translations
- On \(\mathbb{A}^ 1\)-bundles of affine morphisms
- Some results on codimension-one \(\mathbb A^{1}\)-fibrations
- Additive group actions with finitely generated invariants
- A generalization of the imbedding problem of an abstract variety in a complete variety
- On fixed point schemes of actions of multiplicative and additive groups
- Zariski's conjecture and related problems
- Quasirational Singularities
- Characteristic Classes. (AM-76)
- Flattening Theorem in Complex-Analytic Geometry
- Affine pseudo-planes and cancellation problem
- The Hyperplane Sections of Normal Varieties
- Algebraic theory of locally nilpotent derivations
This page was built for publication: \(\mathbb A^1\)-fibrations on affine threefolds