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

1994/05/20 by Küchle, Oliver
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.alg-geom/9405009

Abstract

Let 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.

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