%0 Journal Article
%T On some smooth projective two-orbits varieties with Picard number 1
%A Boris Pasquier
%J Mathematics
%D 2008
%I arXiv
%X 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.
%U http://arxiv.org/abs/0801.3534v1