English

A Few Splitting Criteria for Vector Bundles

Algebraic Geometry 2008-02-08 v1

Abstract

We prove a few splitting criteria for vector bundles on a quadric hypersurface and Grassmannians. We give also some cohomological splitting conditions for rank 2 bundles on multiprojective spaces. The tools are monads and a Beilinson's type spectral sequence generalized by Costa and Mir\'o-Roig.

Keywords

Cite

@article{arxiv.0802.1062,
  title  = {A Few Splitting Criteria for Vector Bundles},
  author = {Francesco Malaspina},
  journal= {arXiv preprint arXiv:0802.1062},
  year   = {2008}
}

Comments

9 pages, no figures

R2 v1 2026-06-21T10:10:39.284Z