3 papers
cond-mat.stat-mech2026
Harmonic morphisms and dynamical invariants in network renormalization
Francesco Maria Guadagnuolo, Marco Nurisso, Federica Galluzzi +2
Renormalization of complex networks requires principled criteria for assessing whether a coarse-graining preserves dynamical content. We prove that discrete harmonic morphisms -- s…
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 cont…