Horrocks Correspondence on a Quadric Surface
Algebraic Geometry
2013-01-29 v2
Abstract
We extend the Horrocks correspondence between vector bundles and cohomology modules on the projective plane to the product of two projective lines. We introduce a set of invariants for a vector bundle on the product of two projective lines, which includes the first cohomology module of the bundle, and prove that there is a one to one correspondence between these sets of invariants and isomorphism classes of vector bundles without line bundle summands.
Cite
@article{arxiv.1301.5436,
title = {Horrocks Correspondence on a Quadric Surface},
author = {F. Malaspina and A. P. Rao},
journal= {arXiv preprint arXiv:1301.5436},
year = {2013}
}
Comments
19 pages