 |
|
|
|
| HAL : hal-00348159, version 1 |
| arXiv : 0812.3472 |
| Fiche détaillée |  Récupérer au format |
|
|
|
|
| Iterated destabilizing modifications for vector bundles with connection |
|
|
| Carlos Simpson 1 |
|
|
| (17/12/2008) |
|
|
|
| Given a vector bundle with integrable connection $(V,\nabla )$ on a curve, if $V$ is not itself semistable as a vector bundle then we can iterate a construction involving modification by the destabilizing subobject to obtain a Hodge-like filtration $F^p$ which satisfies Griffiths transversality. The associated graded Higgs bundle is the limit of $(V,t\nabla )$ under the de Rham to Dolbeault degeneration. We get a stratification of the moduli space of connections, with as minimal stratum the space of opers. The strata have fibrations whose fibers are Lagrangian subspaces of the moduli space. |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | Laboratoire Jean Alexandre Dieudonné (JAD) |
|
|
|
CNRS : UMR6621 – Université de Nice Sophia Antipolis (UNS) |
|
|
|
|
|
|
|
|
|
| Domaine | : | Mathématiques/Géométrie algébrique |
|
|
| Liste des fichiers attachés à ce document : | ||||||||||
|
||||||||||
|
|
|
| hal-00348159, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00348159 | |
| oai:hal.archives-ouvertes.fr:hal-00348159 | |
| Contributeur : Carlos Simpson | |
| Soumis le : Mercredi 17 Décembre 2008, 23:29:41 | |
| Dernière modification le : Jeudi 18 Décembre 2008, 09:04:26 | |
