Explicit Determination of the Picard Group of Moduli Spaces of Semi-Stable G-Bundles on Curves
| dc.creator | Boysal, Arzu | |
| dc.creator | Kumar, Shrawan | |
| dc.date | 2004-03-08 | |
| dc.date | 2006-12-01 | |
| dc.date.accessioned | 2026-07-07T06:36:01Z | |
| dc.date.available | 2026-07-07T06:36:01Z | |
| dc.description | Let $\mathcal C$ be a smooth irreducible projective curve over the complex numbers and let $G$ be a simple simply-connected complex algebraic group. Let $\mathfrak M=\mathfrak M(G,\mathcal C)$ be the moduli space of semistable principal $G$-bundles on $\mathcal C$. By an earlier result of Kumar-Narasimhan, the Picard group of $\mathfrak M$ is isomorphic with the group of integers. However, in their work the generator of the Picard group was not determined explicitly. The aim of this paper to give the generator `explicitly.' The proof involves an interesting mix of geometry and topology. | |
| dc.description | 22 pages; final version | |
| dc.identifier | https://arxiv.org/abs/math/0403141 | |
| dc.identifier | http://arxiv.org/abs/math/0403141 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99964 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.title | Explicit Determination of the Picard Group of Moduli Spaces of Semi-Stable G-Bundles on Curves | |
| dc.type | text |