392 citations · 651 across the 22 of their papers we have counts for
22 papers
Smoothings of lci proper schemes
Barbara Fantechi, Rosa M. Miró-Roig
We give criteria for the existence of geometric smoothings of a proper lci scheme or a DM stack as well as for a polarized lci scheme , without assuming that is redu…
On the stack of 0-dimensional coherent sheaves: structural aspects
Barbara Fantechi, Andrea T. Ricolfi
Let be a quasiprojective scheme. In this expository note we collect a series of useful structural results on the stack parametrising -dimensional cohere…
On the stack of 0-dimensional coherent sheaves: motivic aspects
Barbara Fantechi, Andrea T. Ricolfi
Let be a variety. In this survey, we study (decompositions of) the motivic class, in the Grothendieck ring of stacks, of the stack of -dimensional coher…
On the moduli space of simple sheaves on singular K3 surfaces
Barbara Fantechi, Rosa M. Miró-Roig
Mukai proved that the moduli space of simple sheaves on a smooth projective K3 surface is symplectic, and in \cite{FM2} we gave two constructions allowing one to construct new loca…
Lagrangian subspaces of the moduli space of simple sheaves on K3 surfaces
Barbara Fantechi, Rosa M. Miró-Roig
Let be a K3 surface and let be the moduli space of simple sheaves on of fixed rank and Chern classes and . Under suitable assumptions…
Moduli of generalized syzygy bundles
Barbara Fantechi, Rosa M. Miró-Roig
Given a vector bundle on a variety and such that the evaluation map is surjective, its kernel is called generalize…