On some smooth projective two-orbits varieties with Picard number 1

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dc.creatorPasquier, Boris
dc.date2008-01-23
dc.date.accessioned2026-07-07T08:56:03Z
dc.date.available2026-07-07T08:56:03Z
dc.descriptionWe classify all smooth projective horospherical varieties with Picard number 1. We prove that the automorphism group of any such variety X acts with at most two orbits and that this group still acts with only two orbits on X blown up at the closed orbit. We characterize all smooth projective two-orbits varieties with Picard number 1 that satisfy this latter property.
dc.description32 pages
dc.identifierhttps://arxiv.org/abs/0801.3534
dc.identifierhttp://arxiv.org/abs/0801.3534
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146475
dc.subjectAlgebraic Geometry
dc.subject14J45, 14L30, 14M17
dc.titleOn some smooth projective two-orbits varieties with Picard number 1
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