Smooth Projective Symmetric Varieties with Picard Number equal to one

dc.creatorRuzzi, Alessandro
dc.date2007-02-12
dc.date2008-09-26
dc.date.accessioned2026-07-07T10:05:23Z
dc.date.available2026-07-07T10:05:23Z
dc.descriptionWe 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.
dc.description23 pages; some minor errors corrected, final version. To appear on "International Journal of Mathematics"
dc.identifierhttps://arxiv.org/abs/math/0702340
dc.identifierhttp://arxiv.org/abs/math/0702340
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169996
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject14M17 (Primary), 14J45, 14L30 (Secondary)
dc.titleSmooth Projective Symmetric Varieties with Picard Number equal to one
dc.typetext

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