Universal Families on moduli spaces of principal bundles on curves
| dc.creator | Balaji, V. | |
| dc.creator | Biswas, I. | |
| dc.creator | Nagaraj, D. S. | |
| dc.creator | Newstead, P. E. | |
| dc.date | 2006-01-09 | |
| dc.date.accessioned | 2026-07-07T06:58:39Z | |
| dc.date.available | 2026-07-07T06:58:39Z | |
| dc.description | Let $H$ be a connected semisimple linear algebraic group defined over $\mathbb C$ and $X$ a compact connected Riemann surface of genus at least three. Let ${\mathcal M}'_X(H)$ be the moduli space parametrising all topologically trivial stable principal $H$-bundles over $X$ whose automorphism group coincides with the centre of $H$. It is a Zariski open dense subset of the moduli space of stable principal $H$-bundles. We prove that there is a universal principal $H$-bundle over $X\times {\mathcal M}'_X(H)$ if and only if $H$ is an adjoint group (that is, the centre of $H$ is trivial). | |
| dc.identifier | https://arxiv.org/abs/math/0601168 | |
| dc.identifier | http://arxiv.org/abs/math/0601168 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107441 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Universal Families on moduli spaces of principal bundles on curves | |
| dc.type | text |