The tangent space to the moduli space of vector bundles on a curve and the singular locus of the theta divisor of the jacobian
| dc.creator | van Geemen, B. | |
| dc.creator | Izadi, E. | |
| dc.date | 1998-05-07 | |
| dc.date.accessioned | 2026-07-07T05:24:43Z | |
| dc.date.available | 2026-07-07T05:24:43Z | |
| dc.description | We complete the proof of the fact that the moduli space of rank two bundles with trivial determinant embeds into the linear system of divisors on $Pic^{g-1}C$ which are linearly equivalent to $2Θ$. The embedded tangent space at a semi-stable non-stable bundle $ξ\oplusξ^{-1}$, where $ξ$ is a degree zero line bundle, is shown to consist of those divisors in $|2Θ|$ which contain $Sing(Θ_ξ)$ where $Θ_ξ$ is the translate of $Θ$ by $ξ$. We also obtain geometrical results on the structure of this tangent space. | |
| dc.description | 33 pages, AMS-Latex | |
| dc.identifier | https://arxiv.org/abs/math/9805037 | |
| dc.identifier | http://arxiv.org/abs/math/9805037 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76908 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60 (Primary), 14H42 (Secondary) | |
| dc.title | The tangent space to the moduli space of vector bundles on a curve and the singular locus of the theta divisor of the jacobian | |
| dc.type | text |