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Cohomological Characterization of Vector Bundles on Grassmannians of Lines

arXiv:0902.2897

Abstract

We introduce a notion of regularity for coherent sheaves on Grassmannians of lines. We use this notion to prove some extension of Evans-Griffith criterion to characterize direct sums of line bundles. We also give a cohomological characterization of exterior and symmetric powers of the universal bundles of the Grassmannian.

10 pages, no figures