Abstract
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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The author has been partially supported by a CNRS grant in collaboration with Liegrits.
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Ruzzi, A. Geometrical description of smooth projective symmetric varieties with Picard number one. Transformation Groups 15, 201–226 (2010). https://doi.org/10.1007/s00031-010-9074-9
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DOI: https://doi.org/10.1007/s00031-010-9074-9