Cohomological characterization of vector bundles on multiprojective spaces
Algebraic Geometry
2007-05-23 v1
Abstract
We show that Horrock's criterion for the splitting of vector bundles on can be extended to vector bundles on multiprojective spaces and to smooth projective varieties with the weak CM property (see Definition 3.11). As a main tool we use the theory of -blocks and Beilinson's type spectral sequences. Cohomological characterizations of vector bundles are also showed.
Cite
@article{arxiv.math/0609559,
title = {Cohomological characterization of vector bundles on multiprojective spaces},
author = {L. Costa and R. M. Miró-Roig},
journal= {arXiv preprint arXiv:math/0609559},
year = {2007}
}