47 citations · 129 across the 3 of their papers we have counts for
3 papers
math.AG2008★ 39 cited
Grothendieck Duality for Deligne-Mumford Stacks
Fabio Nironi
We prove the existence of the dualizing functor for a separated morphism of algebraic stacks with affine diagonal; then we explicitly develop duality for compact Deligne-Mumford st…
math.AG2008★ 43 cited
Moduli Spaces of Semistable Sheaves on Projective Deligne-Mumford Stacks
Fabio Nironi
We introduce a notion of Gieseker stability for coherent sheaves on tame Deligne-Mumford stacks with projective moduli scheme and some chosen generating sheaf on the stack in the s…
math.AG2007★ 47 cited
Smooth toric DM stacks
Barbara Fantechi, Etienne Mann, Fabio Nironi
We give a new definition of smooth toric DM stacks in the same spirit of toric varieties. We show that our definition is equivalent to the one of Borisov, Chen and Smith in terms o…