Geometrical description of smooth projective symmetric varieties with Picard number one
Algebraic Geometry
2008-12-12 v1 Representation Theory
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).
Keywords
Cite
@article{arxiv.0812.2096,
title = {Geometrical description of smooth projective symmetric varieties with Picard number one},
author = {Alessandro Ruzzi},
journal= {arXiv preprint arXiv:0812.2096},
year = {2008}
}
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27 pages