activity
19962023
most citedVanishing theorems for ample vector bundles

42 citations · 328 across the 67 of their papers we have counts for

collaborators

79 papers

math.AG2023★ 1 cited

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…

math.AG2023

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…

math.AG2022

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…

math.AG2022

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…

math.AG2022

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^{[…

math.RA2022

Four-Dimensional Lie Algebras Revisited

Laurent Manivel, Bernd Sturmfels, Svala Sverrisdóttir

The projective variety of Lie algebra structures on a 4-dimensional vector space has four irreducible components of dimension 11. We compute their prime ideals in the polynomial ri…