A Home-Made Hartshorne-Serre Correspondence

  • Enrique Arrondo
DOI: https://doi.org/10.5209/rev_REMA.2007.v20.n2.16502
Keywords: Codimension two, Hartshorne-Serre correspondence,

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.
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Published
2007-09-13
How to Cite
Arrondo, E. (2007). A Home-Made Hartshorne-Serre Correspondence. Revista Matemática Complutense, 20(2), 423-443. https://doi.org/10.5209/rev_REMA.2007.v20.n2.16502
Issue
Vol. 20 No. 2 (2007)
Section
Articles

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