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math.AG2005
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…
math.AG2004
Legendrian varieties
J. M. Landsberg, L. Manivel
We investigate the geometry of Legendrian complex projective manifolds $X\subset\PP V$. By definition, this means is a complex vector space of dimension , endowed with a…