Splitting criteria for vector bundles on higher dimensional varieties

Details Splitting criteria for vector bundles on higher dimensional varieties Splitting criteria for vector bundles on higher dimensional varieties

2009-02-19

arxiv.org/abs/0902.3472v3

Pacific Journal of Mathematics, vol. 252, no. 1, pp. 19-29, 2011

Mathematics

Algebraic Geometry

final version: Horrocks scheme defined, more references added, 10 pages, to appear in Pacific J. Math

Scientific paper

We generalize Horrocks' criterion for the splitting of vector bundles on
projective space. We establish an analogous splitting criterion for vector
bundles on a class of smooth complex projective varieties of dimension at least
four, over which every extension of line bundles splits.

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