Stability on the Sato Grassmannian. Applications to the moduli of vector bundles
[EN] The action of Sl(r,k[[z]]) on the Sato Grassmannian is studied. Following ideas similar to those of GIT and to those used in the study of vector bundles, the (semi)stable points are introduced. It is shown that any point admits a Harder–Narasimhan filtration and that, if it is semistable, it ha...
| Autores: | , , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2008 |
| País: | España |
| Recursos: | Universidad de Salamanca (USAL) |
| Repositório: | GREDOS. Repositorio Institucional de la Universidad de Salamanca |
| OAI Identifier: | oai:gredos.usal.es:10366/159308 |
| Acesso em linha: | http://hdl.handle.net/10366/159308 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Sato Grassmannian Stability Harder–Narasimhan filtration Jordan–Hölder filtration Moduli of vector bundles |
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Stability on the Sato Grassmannian. Applications to the moduli of vector bundlesCasimiro, A.CMuñoz Porras, José MaríaPlaza Martín, Francisco JoséSato GrassmannianStabilityHarder–Narasimhan filtrationJordan–Hölder filtrationModuli of vector bundles[EN] The action of Sl(r,k[[z]]) on the Sato Grassmannian is studied. Following ideas similar to those of GIT and to those used in the study of vector bundles, the (semi)stable points are introduced. It is shown that any point admits a Harder–Narasimhan filtration and that, if it is semistable, it has a Jordan–H¨ older filtration. Finally, theses results are compared with the well-known theory of vector bundles on an algebraic curve.ELSEVIER202420242008info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10366/159308reponame:GREDOS. Repositorio Institucional de la Universidad de Salamancainstname:Universidad de Salamanca (USAL)Inglésinfo:eu-repo/semantics/openAccessoai:gredos.usal.es:10366/1593082026-06-07T06:28:51Z |
| dc.title.none.fl_str_mv |
Stability on the Sato Grassmannian. Applications to the moduli of vector bundles |
| title |
Stability on the Sato Grassmannian. Applications to the moduli of vector bundles |
| spellingShingle |
Stability on the Sato Grassmannian. Applications to the moduli of vector bundles Casimiro, A.C Sato Grassmannian Stability Harder–Narasimhan filtration Jordan–Hölder filtration Moduli of vector bundles |
| title_short |
Stability on the Sato Grassmannian. Applications to the moduli of vector bundles |
| title_full |
Stability on the Sato Grassmannian. Applications to the moduli of vector bundles |
| title_fullStr |
Stability on the Sato Grassmannian. Applications to the moduli of vector bundles |
| title_full_unstemmed |
Stability on the Sato Grassmannian. Applications to the moduli of vector bundles |
| title_sort |
Stability on the Sato Grassmannian. Applications to the moduli of vector bundles |
| dc.creator.none.fl_str_mv |
Casimiro, A.C Muñoz Porras, José María Plaza Martín, Francisco José |
| author |
Casimiro, A.C |
| author_facet |
Casimiro, A.C Muñoz Porras, José María Plaza Martín, Francisco José |
| author_role |
author |
| author2 |
Muñoz Porras, José María Plaza Martín, Francisco José |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
Sato Grassmannian Stability Harder–Narasimhan filtration Jordan–Hölder filtration Moduli of vector bundles |
| topic |
Sato Grassmannian Stability Harder–Narasimhan filtration Jordan–Hölder filtration Moduli of vector bundles |
| description |
[EN] The action of Sl(r,k[[z]]) on the Sato Grassmannian is studied. Following ideas similar to those of GIT and to those used in the study of vector bundles, the (semi)stable points are introduced. It is shown that any point admits a Harder–Narasimhan filtration and that, if it is semistable, it has a Jordan–H¨ older filtration. Finally, theses results are compared with the well-known theory of vector bundles on an algebraic curve. |
| publishDate |
2008 |
| dc.date.none.fl_str_mv |
2008 2024 2024 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
http://hdl.handle.net/10366/159308 |
| url |
http://hdl.handle.net/10366/159308 |
| dc.language.none.fl_str_mv |
Inglés |
| language_invalid_str_mv |
Inglés |
| dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess |
| eu_rights_str_mv |
openAccess |
| dc.publisher.none.fl_str_mv |
ELSEVIER |
| publisher.none.fl_str_mv |
ELSEVIER |
| dc.source.none.fl_str_mv |
reponame:GREDOS. Repositorio Institucional de la Universidad de Salamanca instname:Universidad de Salamanca (USAL) |
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Universidad de Salamanca (USAL) |
| reponame_str |
GREDOS. Repositorio Institucional de la Universidad de Salamanca |
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GREDOS. Repositorio Institucional de la Universidad de Salamanca |
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15,812455 |