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most citedLogarithmic bundles and Line arrangements, an approach via the standard construction

43 citations · 183 across the 42 of their papers we have counts for

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math.AG2026

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…

math.AG2025

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…

math.AG2025

Göpel Varieties

Vladimiro Benedetti, Michele Bolognesi, Daniele Faenzi +1

We show that the Coble hypersurfaces, uniquely characterized by the remarkable property that their singular loci are an abelian surface and a Kummer threefold, respectively, belong…

math.AG2025

Equivariant spaces of matrices of constant corank one

Ada Boralevi, Daniele Faenzi, Dragoş Frăţilă

We study spaces of matrices coming from irreducible representations of reductive groups over an algebraically closed field of characteristic zero and we completely classify those o…

math.AG2024

Anti-symplectic involutions on moduli spaces of sheaves on K3 surfaces via auto-equivalences

Daniele Faenzi, Grégoire Menet, Yulieth Prieto-Montañez

We provide new examples of anti-symplectic involutions on moduli spaces of stable sheaves on K3 surfaces. These involutions are constructed through (anti) autoequivalences of the b…

math.AG2024

Logarithmic vector fields and foliations on toric varieties

Daniele Faenzi, Marcos Jardim, William D Montoya

We introduce a toric version of the sheaf of logarithmic vector fields along a divisor of a simplicial toric variety. The notion is also relevant for algebraically independent fami…