The ring of sections of a complete symmetric variety.

DOI10.1016/S0021-8693(02)00676-2zbMath1055.14052arXivmath/0204354OpenAlexW2139940145MaRDI QIDQ1870086

Andrea Maffei, Rocco Chirivì

Publication date: 4 May 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0204354

zbMATH Keywords

Picard groupstandard monomialwonderful completion

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Group actions on varieties or schemes (quotients) (14L30) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (9)

Standard monomial theory for wonderful varieties ⋮ The total coordinate ring of a wonderful variety ⋮ On the cohomology supported by line bundles over complete symmetric varieties ⋮ Standard monomials for wonderful group compactifications. ⋮ Effective and big divisors on a projective symmetric variety ⋮ Projective normality of complete toroidal symmetric varieties ⋮ Geometrical description of smooth projective symmetric varieties with Picard number one ⋮ Projective normality of complete symmetric varieties ⋮ SMOOTH PROJECTIVE SYMMETRIC VARIETIES WITH PICARD NUMBER ONE

Cites Work

• Projective normality of flag varieties and Schubert varieties
• Singularités rationnelles et quotients par les groupes réductifs. (Rational singularities and quotients by reductive groups)
• Proof of the Parthasarathy-Ranga Rao-Varadarajan conjecture
• Singularités rationnelles et déformations
• Compactification of symmetric varieties
• LS algebras and application to Schubert varieties
• Projective normality of the wonderful compactification of semisimple adjoint groups
• Multi-cones over Schubert varieties
• Orbits, invariants, and representations associated to involutions of reductive groups
• Paths and root operators in representation theory
• Opération de groupes réductifs dans un type de cônes presque homogènes
• Contracting modules and standard monomial theory for symmetrizable Kac-Moody algebras
• Deformation and Cohen-Macaulayness of the multicone over the flag variety
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