On some smooth projective two-orbit varieties with Picard number 1 |
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Authors: | Boris Pasquier |
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Institution: | (1) Hausdorff Center for Mathematics, Villa Maria, Endenicher Allee 62, 53115 Bonn, Germany |
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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-orbit varieties with Picard number 1 that satisfy
this latter property. |
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Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 14J45 14L30 14M17 |
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