English

A degree bound for globally generated vector bundles

Algebraic Geometry 2008-05-28 v1

Abstract

We obtain a sharp bound on the degree of a globally generated vector bundle over a reduced irreducible projective variety defined over an algebraically closed field of characteristic zero. As an application, we obtain a Del Pezzo-Bertini type theorem on varieties of minimal degree for subvarieties of Grassmannians.

Keywords

Cite

@article{arxiv.0805.4181,
  title  = {A degree bound for globally generated vector bundles},
  author = {José Carlos Sierra},
  journal= {arXiv preprint arXiv:0805.4181},
  year   = {2008}
}

Comments

9 pages, to appear in Mathematische Zeitschrift

R2 v1 2026-06-21T10:44:39.380Z