Extension of structure groups of principal bundles in positive characteristic
| dc.creator | Coiai, Fabrizio | |
| dc.creator | Holla, Yogish I. | |
| dc.date | 2003-12-14 | |
| dc.date | 2004-08-03 | |
| dc.date.accessioned | 2026-07-07T05:03:55Z | |
| dc.date.available | 2026-07-07T05:03:55Z | |
| dc.description | In this article we study the behaviour of semistable principal $G$-bundles over a smooth projective variety $X$ under the extension of structure groups in positive characteristic. We extend some results of Ramanan-Ramanathan \cite{Ramanan-Ramanathan} on rationality of instability flags and show that the associated vector bundles via representations of $G$ are not too unstable and the instability can be bounded by a constant independent of semistable bundles. As a consequence of this the boundedness of the set of isomorphism classes of semistable $G$-bundles with fixed degree and Chern classes is proven. | |
| dc.description | 25 pages. To appear in the J. Reine Angew. Math | |
| dc.identifier | https://arxiv.org/abs/math/0312280 | |
| dc.identifier | http://arxiv.org/abs/math/0312280 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69601 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J60;14L24 | |
| dc.title | Extension of structure groups of principal bundles in positive characteristic | |
| dc.type | text |