Homogeneous principal bundles and stability
| dc.creator | Biswas, Indranil | |
| dc.date | 2009-03-25 | |
| dc.date.accessioned | 2026-07-07T12:56:31Z | |
| dc.date.available | 2026-07-07T12:56:31Z | |
| dc.description | Let G/P be a rational homogeneous variety, where P is a parabolic subgroup of a simple and simply connected linear algebraic group G defined over an algebraically closed field of characteristic zero. A homogeneous principal bundle over G/P is semistable (respectively, polystable) if and only if it is equivariantly semistable (respectively, equivariantly polystable). A stable homogeneous principal H-bundle (E_H ,ρ) is equivariantly stable, but the converse is not true in general. If a homogeneous principal H-bundle (E_H ,ρ) is not equivariantly stable but not stable, then E_H admits an action ρ' of G such that the pair (E_H ,ρ') is a homogeneous principal H-bundle which is not equivariantly stable. | |
| dc.description | Forum Mathematicum (to appear) | |
| dc.identifier | https://arxiv.org/abs/0903.4399 | |
| dc.identifier | http://arxiv.org/abs/0903.4399 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224612 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14L30, 14F05 | |
| dc.title | Homogeneous principal bundles and stability | |
| dc.type | text |