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arXiv · 0801.3534

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

Boris Pasquier
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Abstract

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

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Boris Pasquier. 2008-01-23. On some smooth projective two-orbits varieties with Picard number 1. https://arxiv.org/abs/0801.3534

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