On some smooth projective two-orbits varieties with Picard number 1
Algebraic Geometry
2008-01-24 v1
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.
Cite
@article{arxiv.0801.3534,
title = {On some smooth projective two-orbits varieties with Picard number 1},
author = {Boris Pasquier},
journal= {arXiv preprint arXiv:0801.3534},
year = {2008}
}
Comments
32 pages