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arXiv:0902.3472 [math.AG]AbstractReferencesReviewsResources

Splitting criteria for vector bundles on higher dimensional varieties

Parsa Bakhtary

Published 2009-02-19, updated 2011-01-25Version 3

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.

Comments: final version: Horrocks scheme defined, more references added, 10 pages, to appear in Pacific J. Math
Journal: Pacific Journal of Mathematics, vol. 252, no. 1, pp. 19-29, 2011
Categories: math.AG
Subjects: 14J60, 14F05
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