Cohomological Characterization of Vector Bundles on Grassmannians of Lines

Details Cohomological Characterization of Vector Bundles on Grassmannians of Lines Cohomological Characterization of Vector Bundles on Grassmannians of Lines

2009-02-17

arxiv.org/abs/0902.2897v1

Mathematics

Algebraic Geometry

10 pages, no figures

Scientific paper

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.

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