4 citations · 10 across the 7 of their papers we have counts for
14 papers · 1 filter
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…
On linear spaces of skew-symmetric matrices of constant rank
Laurent Manivel, Emilia Mezzetti
We describe the space of projective planes of complex skew-symmetric matrices of order six and constant rank four. We prove that it has four connected components, all of dimension…
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…
On the ideals of secant varieties of Segre varieties
J. M. Landsberg, Laurent Manivel
We establish basic techniques for studying the ideals of secant varieties of Segre varieties. We solve a conjecture of Garcia, Stillman and Sturmfels on the generators of the ideal…
The Chow ring of the Cayley plane
Atanas Iliev, Laurent Manivel
We give a full description of the Chow ring of the complex Cayley plane, the simplest of the exceptional flag varieties. We describe explicitely the most interesting of its Schuber…
Severi varieties and their varieties of reductions
Atanas Iliev, Laurent Manivel
We study the varieties of reductions associated to the four Severi varieties, the first example of which is the Fano threefold of index 2 and degree 5 studied by Mukai and others.…