A Home-Made Hartshorne-Serre Correspondence
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 o...
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| Tipo de documento: | artigo |
| Data de publicação: | 2007 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositório: | Docta Complutense |
| Idioma: | inglês |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49574 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/49574 |
| Access Level: | Acceso aberto |
| Palavra-chave: | 514.7 Codimension two Hartshorne-Serre correspondence Subcanonical subschemes Codimension Geometría diferencial 1204.04 Geometría Diferencial |
| Resumo: | 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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