42 citations · 328 across the 67 of their papers we have counts for
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math.AG2005
Configurations of lines and models of Lie algebras
Laurent Manivel
The automorphism groups of the 27 lines on the smooth cubic surface or the 28 bitangents to the general quartic plane curve are well-known to be closely related to the Weyl groups…
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.AG2005★ 2 cited
Varieties of reductions for
Atanas Iliev, Laurent Manivel
We study the varieties of reductions associated to the variety of rank one matrices in $\fgl\_n$. These varieties are defined as natural compactifications of the different ways to…