Iterated destabilizing modifications for vector bundles with connection
| dc.creator | Simpson, Carlos T. | |
| dc.date | 2008-12-18 | |
| dc.date.accessioned | 2026-07-07T12:20:16Z | |
| dc.date.available | 2026-07-07T12:20:16Z | |
| dc.description | 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. | |
| dc.identifier | https://arxiv.org/abs/0812.3472 | |
| dc.identifier | http://arxiv.org/abs/0812.3472 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/213018 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Iterated destabilizing modifications for vector bundles with connection | |
| dc.type | text |