42 citations · 328 across the 67 of their papers we have counts for
68 papers · 1 filter
Hecke cycles on moduli of vector bundles and orbital degeneracy loci
Vladimiro Benedetti, Michele Bolognesi, Daniele Faenzi +1
Given a smooth genus two curve , the moduli space SU of rank three semi-stable vector bundles on with trivial determinant is a double cover in branched…
Matrices of linear forms of constant rank from vector bundles on projective spaces
Laurent Manivel, Rosa Miro-Roig
We consider the problem of constructing matrices of linear forms of constant rank by focusing on the associated vector bundles on projective spaces. Important examples are given by…
Equivariant spaces of matrices of constant rank
J. M. Landsberg, L. Manivel
We use representation theory to construct spaces of matrices of constant rank. These spaces are parametrized by the natural representation of the general linear group or the symple…
A four-dimensional cousin of the Segre cubic
Laurent Manivel
This note is devoted to a special Fano fourfold defined by a four-dimensional space of skew-symmetric forms in five variables. This fourfold appears to be closely related with the…
A birational involution
Pietro Beri, Laurent Manivel
Given a general K3 surface S of degree 18, lattice theoretic considerations allow to predict the existence of an anti-symplectic birational involution of the Hilbert cube $S^{[…
Discriminants of Theta-Representations
Vladimiro Benedetti, Laurent Manivel
Tevelev has given a remarkable explicit formula for the discriminant of a complex simple Lie algebra, which can be defined as the equation of the dual hypersurface of the minimal n…