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The abelian fibration on the Hilbert cube of a K3 surface of genus 9
Atanas Iliev, Kristian Ranestad
In this paper we construct an abelian fibration over on the Hilbert cube of the primitive K3 surface of genus 9. After the abelian fibration constructed by Mukai on the…
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…