Some properties of Fano manifolds that are zeros of sections in homogenous vector bundles over Grassmannians

dc.creatorKüchle, Oliver
dc.date1994-05-20
dc.date.accessioned2026-07-07T09:06:05Z
dc.date.available2026-07-07T09:06:05Z
dc.descriptionLet $X$ be a Fano manifold which is the zero scheme of a general global section $s$ in an irreducible homogenous 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.
dc.description8 pages, AmS-TeX 2.1
dc.identifierhttps://arxiv.org/abs/alg-geom/9405009
dc.identifierhttp://arxiv.org/abs/alg-geom/9405009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149894
dc.subjectAlgebraic Geometry
dc.titleSome properties of Fano manifolds that are zeros of sections in homogenous vector bundles over Grassmannians
dc.typetext

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