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Resumen:
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Let G(r,m) denote the Grassmann variety of r-dimensional linear subspaces of Pm. To any linear projection Pm?Pm?, m?
In the paper under review the authors extend this result to Grassmann varieties of higher-dimensional linear subspaces. To wit, they prove that, under certain assumptions, if X?G(d?1,nd+d?1) is 1-projectable to G(d?1,n+2d?3), then X is the d-tuple Veronese variety defined as the locus of Pd?1's spanned by the d-tuples of corresponding points of d copies of Pn in general position in Pnd+d?1. Unfortunately, the authors can only prove this under rather restrictive hypotheses, e.g. they assume that X has positive defect.
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