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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
The two extremal rays of some Hyper-Kähler fourfolds
Federica Galluzzi, Bert Van Geemen
We consider projective Hyper-Kähler manifolds of dimension four that are deformation equivalent to Hilbert squares of K3 surfaces. In case such a manifold admits a divisorial contr…