Principle bundles admitting a holomorphic structure
| dc.creator | Biswas, Indranil | |
| dc.date | 1996-01-18 | |
| dc.date.accessioned | 2026-07-07T09:06:42Z | |
| dc.date.available | 2026-07-07T09:06:42Z | |
| dc.description | Let $M$ be a compact connected Kähler manifold and let ${\E}_{l-1}$ be the smallest term in the Harder-Narasimhan filtration of its tangent bundle. Let $G$ be an affine algebraic reductive group over $\C$. We prove the following result: If $M$ satisfies the condition that $°(T/{\E}_{l-1}) \geq 0$, then a holomorphic principal $G$-bundle $P$ on $M$ admitting a compatible holomorphic connection is semistable. Moreover, if $°(T/{\E}_{l-1}) >0$, then such a bundle $P$ actually admits a compatible flat $G$-connection. | |
| dc.description | AMSLatex | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9601019 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9601019 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150103 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Principle bundles admitting a holomorphic structure | |
| dc.type | text |