Singular principal bundles over higher dimensional manifolds and their moduli spaces
| dc.creator | Schmitt, Alexander | |
| dc.date | 2002-01-10 | |
| dc.date.accessioned | 2026-07-07T04:45:47Z | |
| dc.date.available | 2026-07-07T04:45:47Z | |
| dc.description | In this note, we introduce the notion of a singular principal G-bundle, associated to a reductive algebraic group G over the complex numbers by means of a faithful representation $\varrho^\p\colon G\lra \SL(V)$. This concept is meant to provide an analogon to the notion of a torsion free sheaf as a generalization of the notion of a vector bundle. We will construct moduli spaces for these singular principal bundles which compactify the moduli spaces of stable principal bundles. | |
| dc.description | To appear in the International Mathematics Research Notices (IMRN), 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0201085 | |
| dc.identifier | http://arxiv.org/abs/math/0201085 | |
| dc.identifier | IMRN 2002:23 (2002) 1183-1209. PII S1073792802107069 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63084 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Singular principal bundles over higher dimensional manifolds and their moduli spaces | |
| dc.type | text |