On some smooth projective two-orbit varieties with Picard number 1
Identifieur interne : 000538 ( Main/Exploration ); précédent : 000537; suivant : 000539On some smooth projective two-orbit varieties with Picard number 1
Auteurs : Boris Pasquier [Allemagne]Source :
- Mathematische Annalen [ 0025-5831 ] ; 2009-08-01.
Abstract
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-orbit varieties with Picard number 1 that satisfy this latter property.
Url:
DOI: 10.1007/s00208-009-0341-9
Affiliations:
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<front><div type="abstract" xml:lang="en">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-orbit varieties with Picard number 1 that satisfy this latter property.</div>
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