A home-made Hartshorne-Serre correspondence

Details A home-made Hartshorne-Serre correspondence A home-made Hartshorne-Serre correspondence

2006-09-30

arxiv.org/abs/math/0610015v1

Mathematics

Algebraic Geometry

19 pages

Scientific paper

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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