Splitting criteria for vector bundles on higher dimensional varieties
Algebraic Geometry
2012-04-17 v3
Abstract
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.
Cite
@article{arxiv.0902.3472,
title = {Splitting criteria for vector bundles on higher dimensional varieties},
author = {Parsa Bakhtary},
journal= {arXiv preprint arXiv:0902.3472},
year = {2012}
}
Comments
final version: Horrocks scheme defined, more references added, 10 pages, to appear in Pacific J. Math