The moduli space of rank-3 vector bundles with trivial determinant over a curve of genus 2 and duality
| dc.creator | Nguyen, Quang Minh | |
| dc.date | 2004-08-23 | |
| dc.date | 2004-11-24 | |
| dc.date.accessioned | 2026-07-07T05:11:29Z | |
| dc.date.available | 2026-07-07T05:11:29Z | |
| dc.description | Let SU_X(3) be the moduli space of semi-stable vector bundles of rank 3 and trivial determinant on a curve X of genus 2. It maps onto P^8 and the map is a double cover branched over a sextic hypersurface called the Coble sextic. In the dual P^8 there is a unique cubic hypersurface, the Coble cubic, singular exactly along the abelian surface of degree 1 line bundles on X. We give a new proof that these two hypersurfaces are dual. As an immediate corollary, we derive a Torelli-type result. | |
| dc.description | 20 pages. v2 | |
| dc.identifier | https://arxiv.org/abs/math/0408318 | |
| dc.identifier | http://arxiv.org/abs/math/0408318 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72260 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60, 14E05, 14J70 | |
| dc.title | The moduli space of rank-3 vector bundles with trivial determinant over a curve of genus 2 and duality | |
| dc.type | text |