Journal
TRANSFORMATION GROUPS
Volume 15, Issue 1, Pages 201-226Publisher
SPRINGER BIRKHAUSER
DOI: 10.1007/s00031-010-9074-9
Keywords
Symmetric varieties; Fano varieties
Categories
Funding
- CNRS
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In [R2] we have classified the smooth projective symmetric G-varieties with Picard number one (and G semisimple). In this paper we give a geometrical description of such varieties. In particular, we determine their automorphism group. When this group acts nontransitively on X, we describe a G-equivariant embedding of the variety X in a homogeneous variety (with respect to a larger group). We show that these varieties are all related to the exceptional groups.
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