Normality and non-normality of group compactifications in simple projective spaces

DOI10.5802/aif.2679zbMath1300.14054arXiv1005.2478OpenAlexW3125650965MaRDI QIDQ424845

Jacopo Gandini, Alessandro Ruzzi, Andrea Maffei, Paolo Bravi

Publication date: 6 June 2012

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

Full work available at URL: https://arxiv.org/abs/1005.2478

zbMATH Keywords

symmetric spacessemisimple algebraic groupsprojective representationswonderful varietiesgroup compactifications

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Group actions on varieties or schemes (quotients) (14L30) Compactifications; symmetric and spherical varieties (14M27)

Related Items (5)

Projectivity of the moduli space of stable log-varieties and subadditivity of log-Kodaira dimension ⋮ Normality and smoothness of simple linear group compactifications ⋮ Minimal rational curves on wonderful group compactifications ⋮ Spherical orbit closures in simple projective spaces and their normalizations ⋮ Projective normality of model varieties and related results

Cites Work

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• Projective normality of complete symmetric varieties
• The partial order of dominant weights
• Spherical varieties and Mori theory
• Projective normality of the wonderful compactification of semisimple adjoint groups
• On normality of cones over symmetric varieties
• SMOOTH PROJECTIVE SYMMETRIC VARIETIES WITH PICARD NUMBER ONE
• Equivariant compactifications of reductive groups

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