5 papers
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…
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…
Deformations of algebraic schemes via Reedy-Palamodov cofibrant resolutions
Marco Manetti, Francesco Meazzini
Let be a Noetherian separated and finite dimensional scheme over a field of characteristic zero. The goal of this paper is to study deformations of over a diff…
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.…
Formal deformation theory in left-proper model categories
Marco Manetti, Francesco Meazzini
We develop the notion of deformation of a morphism in a left-proper model category. As an application we provide a geometric/homotopic description of deformations of commutative (n…