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arXiv:0812.2096 [math.AG]AbstractReferencesReviewsResources

Geometrical description of smooth projective symmetric varieties with Picard number one

Alessandro Ruzzi

Published 2008-12-11Version 1

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).

Comments: 27 pages
Categories: math.AG, math.RT
Subjects: 14M17, 14J45, 14L30
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