English

Linear and Steiner bundles on projective varieties

Algebraic Geometry 2007-05-23 v1

Abstract

We use a generalization of Horrocks monads for arithmetic Cohen-Macaulay (ACM) varieties to establish a cohomological characterization of linear and Steiner bundles over projective spaces and quadric hypersurfaces. We also study resolutions of bundles on ACM varieties by line bundles, and characterize linear homological dimension in the case of quadric hypersurfaces.

Keywords

Cite

@article{arxiv.math/0702048,
  title  = {Linear and Steiner bundles on projective varieties},
  author = {Marcos Jardim and Renato Vidal Martins},
  journal= {arXiv preprint arXiv:math/0702048},
  year   = {2007}
}