Geometrical description of smooth projective symmetric varieties with Picard number one

2008/12/11 by Ruzzi, Alessandro · 1 citation
#14J45 #14L30 (Secondary) #14M17 (Primary) #Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.0812.2096

Abstract

In a previous paper we have classified the smooth projective symmetric G-varieties with Picard number one (and G semisimple). In this work we give a geometrical description of such varieties. In particular, we determine their group of automorphisms. When this group, Aut(X), acts non-transitively on X, we describe a G-equivariant embedding of the variety X in a homogeneous variety (with respect to a larger group).

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• Minimal rational curves on equivariant compactifications of symmetric spaces

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