vix.ing · top · new · best · stats · spec

A home-made Hartshorne-Serre correspondence

2006/09/30 by Enrique Arrondo, Arrondo, Enrique · 2 citations
Psychology · Social Sciences · #14M07 #Academic and Historical Perspectives in Psychology #Algebraic Geometry (math.AG) #Australian Indigenous Culture and History #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.math/0610015

openalex publication_date 2006/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

Related