Pfaffian Lines and Vector Bundles on Fano Threefolds of Genus 8
| dc.creator | Iliev, Atanas | |
| dc.creator | Manivel, Laurent | |
| dc.date | 2005-04-29 | |
| dc.date | 2005-12-09 | |
| dc.date.accessioned | 2026-07-07T06:39:52Z | |
| dc.date.available | 2026-07-07T06:39:52Z | |
| dc.description | Let X be a general complex Fano threefold of genus 8. We prove that the moduli space of rank two semistable sheaves on X with Chern numbers c_1=1, c_2=6 and c_3=0 is isomorphic to the Fano surface F(X) of conics on X. Inside F(X), the non-locally free sheaves are parameterized by a smooth curve of genus 26 isomorphic to the base of the family of lines on X. | |
| dc.description | 25 pages, LaTeX; to appear in J.Alg.Geom | |
| dc.identifier | https://arxiv.org/abs/math/0504595 | |
| dc.identifier | http://arxiv.org/abs/math/0504595 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101240 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J30; 14F05 | |
| dc.title | Pfaffian Lines and Vector Bundles on Fano Threefolds of Genus 8 | |
| dc.type | text |