Smooth Projective Symmetric Varieties with Picard Number equal to one

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We classify the smooth projective symmetric G-varieties with Picard number one (and G semisimple). Moreover we prove a criterion for the smoothness of the simple (normal) symmetric varieties whose closed orbit is complete. In particular we prove that, given a such variety X which is not exceptional, then X is smooth if and only if an appropriate toric variety contained in X is smooth.
23 pages; some minor errors corrected, final version. To appear on "International Journal of Mathematics"

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Algebraic Geometry, Representation Theory, 14M17 (Primary), 14J45, 14L30 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/169996

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702340
 http://arxiv.org/abs/math/0702340

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arXiv