Article Dans Une Revue Mathematische Annalen Année : 2009

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

Résumé

We 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-orbit varieties with Picard number 1 that satisfy this latter property.

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hal-00789984 , version 1 (19-02-2013)

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Boris Pasquier. On some smooth projective two-orbit varieties with Picard number 1. Mathematische Annalen, 2009, pp.963-987. ⟨10.1007/s00208-009-0341-9⟩. ⟨hal-00789984⟩

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