Classification of strict wonderful varieties

DOI10.5802/aif.2535zbMath1195.14068arXiv0806.2263OpenAlexW1624850651MaRDI QIDQ978571

Stéphanie Cupit-Foutou, Paolo Bravi

Publication date: 25 June 2010

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.2263

zbMATH Keywords

symmetric varietiesspherical varietieswonderful varietiesmodel spacesspherical nilpotent orbits

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30) Compactifications; symmetric and spherical varieties (14M27)

Related Items (19)

Primitive wonderful varieties ⋮ Characterizing smooth affine spherical varieties via the automorphism group ⋮ Equivariant degenerations of spherical modules for groups of type \(A\) ⋮ Wonderful subgroups of reductive groups and spherical systems ⋮ Anti-holomorphic involutions and spherical subgroups of reductive groups ⋮ Microlocal analysis on wonderful varieties. Regularized traces and global characters ⋮ Primitive spherical systems ⋮ Spherical orbit closures in simple projective spaces and their normalizations ⋮ Plücker relations and spherical varieties: application to model varieties ⋮ An introduction to wonderful varieties with many examples of type ⋮ A combinatorial smoothness criterion for spherical varieties ⋮ Orbits of strongly solvable spherical subgroups on the flag variety ⋮ Projective normality of model varieties and related results ⋮ On the geometry of spherical varieties ⋮ Paley–Wiener theorems for a 𝑝-adic spherical variety ⋮ Parametrization, structure and Bruhat order of certain spherical quotients ⋮ A classification of spherical Schubert varieties in the Grassmannian ⋮ The ring of conditions for horospherical homogeneous spaces ⋮ Strongly solvable spherical subgroups and their combinatorial invariants

Cites Work

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• Homogeneous spaces and equivariant embeddings
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• Equivariant completions of homogeneous algebraic varieties by homogeneous divisors
• Plongements d'espaces homogènes
• Simple immersions of wonderful varieties
• Uniqueness property for spherical homogeneous spaces
• Complexity and nilpotent orbits
• Every wonderful variety is spherical
• Some amazing properties of spherical nilpotent orbits
• Spherical varieties of type A
• The model wonderful variety.
• Equivariant deformations of the affine multicone over a flag variety
• Automorphisms, root systems, and compactifications of homogeneous varieties
• Wonderful varieties of type 𝖤
• Endomorphisms of linear algebraic groups

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