9 papers
Higher-rank instantons sheaves on Fano threefolds
Gaia Comaschi, Daniele Faenzi
We define instanton sheaves of higher rank on smooth Fano threefolds X of Picard rank one and show that their topological classification depends on two integers, namely the rank n…
Logarithmic Derivations of Adjoint Discriminants
Vladimiro Benedetti, Daniele Faenzi, Simone Marchesi
We exhibit a relationship between projective duality and the sheaf of logarithmic vector fields along a reduced divisor of projective space, in that the push-forward of the ide…
On the projective dimension of some deformations of Weyl arrangements
Takuro Abe, Daniele Faenzi
We show that the logarithmic derivation module of (the cone of) the deformation A of a Weyl arrangement associated with a root system of simply laced type has projective dimension…
Logarithmic sheaves of complete intersections
Daniele Faenzi, Marcos Jardim, Jean Vallès +1
We define logarithmic tangent sheaves associated with complete intersections in connection with Jacobian syzygies and distributions. We analyse the notions of local freeness, freen…
Ulrich and Instanton Bundles on Special Cubic Fourfolds
Gianfranco Casnati, Daniele Faenzi, Federica Galluzzi
We study instanton and Ulrich bundles on hypersurfaces of the projective space, with a focus on special cubic fourfolds and generalized Pfaffians, notably defined by skew-symmetric…
Ulrich ranks of Veronese varieties and equivariant instantons
Daniele Faenzi, Victor Do Valle Pretti
We construct Ulrich bundles on Veronese threefolds of arbitrary degree as generic deformations of symmetric squares of equivariant instanton bundles on the projective space, thus c…