33 citations · 70 across the 12 of their papers we have counts for
12 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…
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…
Cox rings of algebraic stacks
Andreas Hochenegger, Elena Martinengo, Fabio Tonini
We give a proper definition of the multiplicative structure of the following rings: the Cox ring of invertible sheaves on a general algebraic stack; and the Cox ring of rank one re…
On degeneracy loci of equivariant bi-vector fields on a smooth toric variety
Elena Martinengo
We study equivariant bi-vector fields on a toric variety. We prove that, on a smooth toric variety of dimension , the locus where the rank of an equivariant bi-vector field is $…
Maps of Mori dream spaces
Andreas Hochenegger, Elena Martinengo
Given a map of -factorial Mori dream spaces, one can ask whether this map is induced by a homogeneous homomorphism of Cox rings. As soon as…