On some smooth projective two-orbit varieties with Picard number 1
نویسنده
چکیده
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. Mathematics Subject Classification. 14J45 14L30 14M17
منابع مشابه
On some smooth projective two - orbits varieties with Picard number 1 Boris Pasquier
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. Mathematics Subject Classif...
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تاریخ انتشار 2013