English

A home-made Hartshorne-Serre correspondence

Algebraic Geometry 2007-05-23 v1

Abstract

We provide an elementary proof of the Hartshorne-Serre correspondence for constructing vector bundles from local complete intersection subschemes of codimension two. This will be done, as in the correspondence of hypersurfaces and line bundles, by patching together local determinantal equations in order to produce sections of a vector bundle.

Keywords

Cite

@article{arxiv.math/0610015,
  title  = {A home-made Hartshorne-Serre correspondence},
  author = {Enrique Arrondo},
  journal= {arXiv preprint arXiv:math/0610015},
  year   = {2007}
}

Comments

19 pages

R2 v1 2026-07-22T17:43:20.859Z