Characterizing smooth affine spherical varieties via the automorphism group
From MaRDI portal
Publication:2660425
DOI10.5802/jep.149zbMath1473.14114arXiv1911.10896OpenAlexW3130679119MaRDI QIDQ2660425
Andriy Regeta, Immanuel Stampfli
Publication date: 30 March 2021
Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.10896
root subgroupsautomorphism groups of quasi-affine varietiesquasi-affine spherical varietiesquasi-affine toric varieties
Group actions on affine varieties (14R20) Automorphisms of surfaces and higher-dimensional varieties (14J50) Groups as automorphisms of other structures (22F50) Compactifications; symmetric and spherical varieties (14M27)
Related Items
Characterization of \(n\)-dimensional normal affine \(\mathrm{SL}_n\)-varieties ⋮ Root subgroups on affine spherical varieties
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Homogeneous spaces and equivariant embeddings
- Affine \(\mathbb{T}\)-varieties of complexity one and locally nilpotent derivations
- Some rationality questions on algebraic groups
- Plongements d'espaces homogènes
- Classification of strict wonderful varieties
- Uniqueness property for spherical homogeneous spaces
- On Hilbert's fourteenth problem for varieties of complexity one.
- Algebraic homogeneous spaces and invariant theory
- Spherical varieties of type A
- Lifting of morphisms to quotient presentations
- The model wonderful variety.
- Proof of the Knop conjecture
- Éléments de géométrie algébrique. I: Le langage des schémas. II: Étude globale élémentaire de quelques classe de morphismes. III: Étude cohomologique des faisceaux cohérents (première partie)
- A note on automorphism groups of algebraic varieties
- Automorphisms of the Lie algebra of vector fields on affine \(n\)-space
- On the canonical real structure on wonderful varieties
- Introduction to Toric Varieties. (AM-131)
- On a theorem of Ax
- Some Basic Results on Actions of Nonaffine Algebraic Groups
- Cox rings, semigroups and automorphisms of affine algebraic varieties
- Automorphism groups of affine varieties and a characterization of affine $n$-space
- Wonderful varieties of type 𝖤
- Sous-groupes algébriques de rang maximum du groupe de Cremona
- Algebraic theory of locally nilpotent derivations
