Families of group actions, generic isotriviality, and linearization
From MaRDI portal
Publication:404607
DOI10.1007/s00031-014-9274-9zbMath1317.14104arXiv1204.3196OpenAlexW1994099427MaRDI QIDQ404607
Hanspeter Kraft, Peter Russell
Publication date: 4 September 2014
Published in: Transformation Groups (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1204.3196
Group actions on varieties or schemes (quotients) (14L30) Complex Lie groups, group actions on complex spaces (32M05) Group actions on affine varieties (14R20)
Related Items (11)
Proper \(G_a\)-actions on \(\mathbb C^4\) preserving a coordinate ⋮ On automorphisms of the affine Cremona group ⋮ Sufficient conditions for holomorphic linearisation ⋮ Extensions of isomorphisms of subvarieties in flexible varieties ⋮ Linearization of holomorphic families of algebraic automorphisms of the affine plane ⋮ The Kraft-Russell generic equivalence theorem and its application ⋮ Affine Space Fibrations ⋮ Uniqueness of embeddings of the affine line into algebraic groups ⋮ Lines in affine toric varieties ⋮ Subgroups of polynomial automorphisms with diagonalizable fibers ⋮ Bivariables and Vénéreau polynomials
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Polynomial ring in two variables over a D.V.R.: A criterion
- A characterization of semisimple plane polynomial automorphisms
- Flat families of affine lines are affine-line bundles
- Semisimple group actions on the three dimensional affine space are linear
- Automorphism group of a polynomial ring and algebraic group action on an affine space
- On the absence of nontrivial separable forms of the affine plane
- Locally polynomial algebras are symmetric algebras
- Reductive group actions with one-dimensional quotient
- Nonlinearizable operations of semisimple groups on affine spaces.
- Kac-Moody groups, their flag varieties and representation theory
- Vénéreau polynomials and related fiber bundles
- Vénéreau-type polynomials as potential counterexamples
- Linearizing Certain Reductive Group Actions
- ℂ*-actions on ℂ³ are linearizable
- Families of affine planes: the existence of a cylinder.
- Equivariant affine line bundles and linearization
This page was built for publication: Families of group actions, generic isotriviality, and linearization