Uniqueness of embeddings of the affine line into algebraic groups
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Publication:5227547
DOI10.1090/jag/725zbMath1453.14118arXiv1609.02113OpenAlexW3102800447MaRDI QIDQ5227547
Peter Feller, Immanuel Stampfli
Publication date: 6 August 2019
Published in: Journal of Algebraic Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.02113
Group actions on varieties or schemes (quotients) (14L30) Grassmannians, Schubert varieties, flag manifolds (14M15) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Automorphisms of surfaces and higher-dimensional varieties (14J50) Affine fibrations (14R25)
Related Items
Extensions of isomorphisms of subvarieties in flexible varieties ⋮ Existence of embeddings of smooth varieties into linear algebraic groups ⋮ On automorphisms of flexible varieties ⋮ Lines in affine toric varieties
Cites Work
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- Families of group actions, generic isotriviality, and linearization
- Smooth varieties up to \(\mathbb A^1\)-homotopy and algebraic \(h\)-cobordisms
- Homogeneous spaces and equivariant embeddings
- Schubert varieties are arithmetically Cohen-Macaulay
- Projective normality of flag varieties and Schubert varieties
- Polynomial representations of knots
- Principal bundles on the affine line
- Flat families of affine lines are affine-line bundles
- A result on m-flats in \({\mathbb{A}}^ n_ k\)
- The extension of regular and rational embeddings
- Affine surfaces containing cylinderlike open sets
- Deformations of principal bundles on the projective line
- Intersections of double cosets in algebraic groups
- Affine lines on logarithmic \(Q\)-homology planes
- An algebraic characterization of the affine plane
- On the desingularization of the unipotent variety
- Locally polynomial algebras are symmetric algebras
- Exotic analytic structures and Eisenman intrinsic measures
- Propriétés topologiques des polynômes de deux variables complexes et automorphismes algébriques de l'espace \(C^2\)
- Affine lines in the complement of a smooth plane conic
- Frobenius splitting methods in geometry and representation theory
- On Noetherian subrings of an affine domain
- Flexible varieties and automorphism groups
- On the embedding dimension of an affine variety
- Cohomologie galoisienne. Cours au Collège de France, 1962--1963. Seconde édition.
- Algebraic embeddings of \(\mathbb{C}\) into \(\mathrm{SL}_{n}(\mathbb{C})\)
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
- Séminaire de géométrie algébrique du Bois Marie 1960/61 (SGA 1), dirigé par Alexander Grothendieck. Augmenté de deux exposés de M. Raynaud. Revêtements étales et groupe fondamental. Exposés I à XIII. (Seminar on algebraic geometry at Bois Marie 1960/61 (SGA 1), directed by Alexander Grothendieck. Enlarged by two reports of M. Raynaud. Ètale coverings and fundamental group)
- Cohomologie non abélienne et espaces fibrés
- An Algebro-Topological Characterization of the Affine Space of Dimension Three
- Extensions of Isomorphisms between Affine Algebraic Subvarieties of k n Automorphisms of k n
- Quasi-Affine Surfaces with G a -Actions
- Linear algebraic groups.
