Sur l'espace des modules des fibres vectoriels de rang 3 sur une courbe de genre 2 et la cubique de Coble
| dc.creator | Ortega, Angela Ortega | |
| dc.date | 2003-09-01 | |
| dc.date | 2003-12-09 | |
| dc.date.accessioned | 2026-07-07T05:00:44Z | |
| dc.date.available | 2026-07-07T05:00:44Z | |
| dc.description | In this thesis we have proved a conjecture about the moduli space SU_X(3) of semi-stable rank 3 vector bundles with trivial determinant on a genus 2 curve X, due to I. Dolgachev. Given X a smooth projective curve of genus 2, and the embedding of the jacobian JX into |3Θ|, A. Coble proved, at the begining of XX century, that there exists a unique cubic hypersurface C in |3Θ|* \simeq P^8, JX[3]-invariant and singular along JX. On the other hand, we have a map of degree 2 from SU_X(3) over |3Θ|, ramified along a sextic hypersurface B. The Dolgachev's conjecture affirms that the sextic B is the dual variety of the Coble's cubic C. | |
| dc.description | thesis, 68 pages with 2 figures | |
| dc.identifier | https://arxiv.org/abs/math/0309019 | |
| dc.identifier | http://arxiv.org/abs/math/0309019 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68432 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Sur l'espace des modules des fibres vectoriels de rang 3 sur une courbe de genre 2 et la cubique de Coble | |
| dc.type | text |