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Some properties of
Fano manifolds that are zeros of sections in homogeneous
vector bundles over Grassmannians
Oliver Küchle |
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Vol. 175 (1996), No. 1, 117–125
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Abstract |
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Let X be a Fano manifold which is the zero scheme of a general global section s in an irreducible homogeneous vector bundle over a Grassmannian. We prove that the restriction of the Plücker embedding embeds X projectively normal, and that every small deformation of X comes from a deformation of the section s. These results are strengthened in the case of Fano 4-folds. |
Mathematical Subject Classification 2000
Primary: 14J45
Secondary: 14C20, 14F17
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Milestones
Received: 30 March 1994
Published: 1 September 1996
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Authors |
| Oliver Küchle | |
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