English

A splitting criterion for rank 2 vector bundles on hypersurfaces in P^4

Algebraic Geometry 2008-03-10 v2

Abstract

We show that Horrocks' criterion for the splitting of rank two vector bundles in P^3 can be extended, with some assumptions on the Chern classes, on non singular hypersurfaces in P^4. Extension of other splitting criterion are studied.

Keywords

Cite

@article{arxiv.math/9804113,
  title  = {A splitting criterion for rank 2 vector bundles on hypersurfaces in P^4},
  author = {Carlo Madonna},
  journal= {arXiv preprint arXiv:math/9804113},
  year   = {2008}
}

Comments

Typesetting minor corrections made