Stability of the Poincaré bundle
| dc.creator | Balaji, V. | |
| dc.creator | Paz, L. Brambila | |
| dc.creator | Newstead, P. E. | |
| dc.date | 1995-06-15 | |
| dc.date.accessioned | 2026-07-07T09:06:34Z | |
| dc.date.available | 2026-07-07T09:06:34Z | |
| dc.description | Let $C$ be a nonsingular projective curve of genus $g\ge2$ defined over the complex numbers, and let $M_ξ$ denote the moduli space of stable bundles of rank $n$ and determinant $ξ$ on $C$, where $ξ$ is a line bundle of degree $d$ on $C$ and $n$ and $d$ are coprime. It is shown that the universal bundle $\cu_ξ$ on $C\times M_ξ$ is stable with respect to any polarisation on $C\times M_ξ$. It is shown further that the connected component of the moduli space of $\cu_ξ$ containing $\cu_ξ$ is isomorphic to the Jacobian of $C$. | |
| dc.description | 16pp. Hard copy available from Dr. P. E. Newstead, Dept. of Pure Maths., University of Liverpool, Liverpool, L69 3BX, England. LaTeX 2.09 | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9506011 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9506011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150051 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J60 (Primary), 14D20, 14H60, 32G08 (Secondary) | |
| dc.title | Stability of the Poincaré bundle | |
| dc.type | text |