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 recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2008 |
| País: | España |
| Institución: | Universidad de Salamanca (USAL) |
| Repositorio: | GREDOS. Repositorio Institucional de la Universidad de Salamanca |
| OAI Identifier: | oai:gredos.usal.es:10366/159308 |
| Acceso en línea: | http://hdl.handle.net/10366/159308 |
| Access Level: | acceso abierto |
| Palabra clave: | Sato Grassmannian Stability Harder–Narasimhan filtration Jordan–Hölder filtration Moduli of vector bundles |
| Sumario: | [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. |
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