| dc.contributor.author | Casimiro, A.C | |
| dc.contributor.author | Muñoz Porras, José María | |
| dc.contributor.author | Plaza Martín, Francisco José | |
| dc.date.accessioned | 2024-08-26T10:32:42Z | |
| dc.date.available | 2024-08-26T10:32:42Z | |
| dc.date.issued | 2008 | |
| dc.identifier.citation | .C. Casimiro, J.M. Muñoz Porras, F.J. Plaza Martín, Stability on the Sato Grassmannian. Applications to the moduli of vector bundles, Journal of Geometry and Physics, Volume 58, Issue 3, 2008, Pages 402-421, ISSN 0393-0440, https://doi.org/10.1016/j.geomphys.2007.11.011. (https://www.sciencedirect.com/science/article/pii/S0393044007001520) | es_ES |
| dc.identifier.issn | 0393-0440 | |
| dc.identifier.uri | http://hdl.handle.net/10366/159308 | |
| dc.description.abstract | [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. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | ELSEVIER | es_ES |
| dc.subject | Sato Grassmannian | es_ES |
| dc.subject | Stability | es_ES |
| dc.subject | Harder–Narasimhan filtration | es_ES |
| dc.subject | Jordan–Hölder filtration | es_ES |
| dc.subject | Moduli of vector bundles | es_ES |
| dc.title | Stability on the Sato Grassmannian. Applications to the moduli of vector bundles | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.relation.publishversion | https://doi.org/10.1016/j.geomphys.2007.11.011 | es_ES |
| dc.identifier.doi | 10.1016/j.geomphys.2007.11.011 | |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
| dc.journal.title | Journal of Geometry and Physics | es_ES |
| dc.volume.number | 58 | es_ES |
| dc.issue.number | 3 | es_ES |
| dc.page.initial | 402 | es_ES |
| dc.page.final | 421 | es_ES |
| dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | es_ES |
