33 citations · 161 across the 20 of their papers we have counts for
21 papers
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…
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 …
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…
On the local structure of the Brill-Noether locus of locally free sheaves on a smooth variety
Donatella Iacono, Elena Martinengo
We study the functor of infinitesimal deformations of a locally free sheaf of -modules on a smooth variety , such that at least i…
Deformations of Calabi-Yau manifolds in Fano toric varieties
Gilberto Bini, Donatella Iacono
In this article, we investigate deformations of a Calabi-Yau manifold in a toric variety , possibly not smooth. In particular, we prove that the forgetful morphism from the…
Homotopy abelianity of the DG-Lie algebra controlling deformations of pairs (variety with trivial canonical bundle, line bundle)
Donatella Iacono, Marco Manetti
We investigate the deformations of pairs , where is a line bundle on a smooth projective variety , defined over an algebraically closed field of characte…