Geometrical description of smooth projective symmetric varieties with Picard number one

Details Geometrical description of smooth projective symmetric varieties with Picard number one Geometrical description of smooth projective symmetric varieties with Picard number one

2008-12-11

arxiv.org/abs/0812.2096v1

Mathematics

Algebraic Geometry

27 pages

Scientific paper

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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