SISSA Open Science

Browsing Preprints by Author "Nironi, Fabio"

Browsing Preprints by Author "Nironi, Fabio"

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  • Grothendieck Duality for Projective Deligne-Mumford Stacks 
    Nironi, Fabio (2008-11-17)
    We develop Grothendieck duality for projective Deligne-Mumford stacks, in particular we prove the existence of a dualizing complex for a morphism from a projective stack to a scheme and for a proper representable morphism ...
  • Moduli Spaces of Semistable Sheaves on Projective Deligne-Mumford Stacks 
    Nironi, Fabio (2008-11-17)
    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 sense of Olsson and Starr \cite{MR2007396}. ...
  • Smooth toric DM stacks 
    Fantechi, Barbara; Mann, Etienne; Nironi, Fabio (2007-09-18)
    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 of stacky fans. In particular, we give a ...

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