3 papers
math.AG2026
Higher cotangent cohomology for Stanley-Reisner rings
Nathan Ilten, Francesco Meazzini, Andrea Petracci
Inspired by work of Altmann and Christophersen, we study the graded pieces of the cotangent cohomology , of the Stanley-Reisner ring $S_{\mathcal{K…
math.AG2025
Local Equations for Hilbert Schemes of Points
Nathan Ilten, Francesco Meazzini, Andrea Petracci
We compute the completion of the local ring of the Hilbert scheme of degree subschemes of at the point corresponding to the ideal $\langle x_1,\ldots,x_n\rangl…
math.AG2025
Deformations of twisted sheaves and formality results
Francesco Meazzini, Claudio Onorati
We show that infinitesimal deformations of twisted sheaves are controlled by the DG Lie algebra of their derived automorphisms. We prove that such DG Lie algebra is formal for poly…