Pfaffian Lines and Vector Bundles on Fano Threefolds of Genus 8

Atanas Iliev, Laurent Manivel

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…