10 citations · 23 across the 11 of their papers we have counts for
8 papers · 1 filter
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…
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…
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…
Hyper-holomorphic connections on vector bundles on hyper-Kähler manifolds
Francesco Meazzini, Claudio Onorati
We study infinitesimal deformations of autodual and hyper-holomorphic connections on complex vector bundles on hyper-Kähler manifolds of arbitrary dimension. In particular, we desc…
Hilbert squares of degeneracy loci
Enrico Fatighenti, Francesco Meazzini, Giovanni Mongardi +1
Let be the first degeneracy locus of a morphism of vector bundles corresponding to a general matrix of linear forms in . We prove that, under certain positivity c…
Formality conjecture for minimal surfaces of Kodaira dimension 0
Ruggero Bandiera, Marco Manetti, Francesco Meazzini
Let F be a polystable sheaf on a smooth minimal projective surface of Kodaira dimension 0. Then the DG-Lie algebra RHom(F,F) of derived endomorphisms of F is formal. The proof is b…
Deformations of polystable sheaves on surfaces: quadraticity implies formality
Ruggero Bandiera, Marco Manetti, Francesco Meazzini
We study relations between the quadraticity of the Kuranishi family of a coherent sheaf on a complex projective scheme and the formality of the DG-Lie algebra of its derived endomo…
A DG-enhancement of D(QCoh(X)) with applications in deformation theory
Francesco Meazzini
It is well-known that DG-enhancements of D(QCoh(X)) are all equivalent to each other, see [23]. Here we present an explicit model which leads to applications in deformation theory.…