A home-made Hartshorne-Serre correspondence

By E. Arrondo. 2006

73 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/982e8d2ed4fcc0a0a445d5dbc81a361b368f8876

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. A. Beauville

In Geometry and Topology

1. A. Beauville
2. Claire Voisin
3. Charles Vial
4. M. Shen
5. Giovanni Mongardi
6. D. Huybrechts
7. Samuel Boissière
8. A. Sarti

In Mathematical Physics

1. A. Beauville
2. Claire Voisin
3. Charles Vial
4. M. Shen

Citations in the corpus

• An introduction to Ulrich bundles (2016, background): “[2]) a rank 2 vector bundle E on X and an exact sequence”