3 papers
math.AG2026
Deformations of morphisms of coherent sheaves
Donatella Iacono, Emma Lepri, Elena Martinengo
We generalise Hinich's Theorem of descent of Deligne groupoids to the case where the dgLas involved have no negative cohomology. We apply this result to study the infinitesimal def…
math.AG2026
Joint Deformations of Manifolds, Coherent Sheaves and Sections
Donatella Iacono, Marco Manetti
We describe a differential graded Lie algebra controlling infinitesimal deformations of triples , where is a coherent sheaf on a smooth variety $X…
math.AG2025
Deformations of morphisms of sheaves
Donatella Iacono, Elena Martinengo
We analyse infinitesimal deformations of morphisms of locally free sheaves on a smooth projective variety over an algebraically closed field of characteristic zero. In particul…