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Stacks associated to abelian tensor categories     Stacks  tensor categories  Algebraic Geometry       font style='font-size:12px;'> 2012/6/9
For an abelian tensor category a stack is constructed. As an application we show that our construction can be used to recover a quasi-compact separated scheme from the category of its quasi-coherent s...
We generalize the combinatorial description of the orbifold (Chen--Ruan) cohomology and of the Grothendieck ring of a Deligne--Mumford toric stack and its associated stacky fan in a lattice $N$ in the...
Toric Stacks II: Intrinsic Characterization of Toric Stacks     Toric Stacks II  fan  stack  moduli  Algebraic Geometry       font style='font-size:12px;'> 2011/9/1
Abstract: The purpose of this paper and its prequel (Toric Stacks I) is to introduce and develop a theory of toric stacks which encompasses and extends the notions of toric stacks defined in [Laf02, B...
Toric Stacks I: The Theory of Stacky Fans     Toric Stacks I  The Theory of Stacky Fans  Algebraic Geometry       font style='font-size:12px;'> 2011/9/1
Abstract: The purpose of this paper and its sequel (Toric Stacks II) is to introduce and develop a theory of toric stacks which encompasses and extends the notions of toric stacks defined in [Laf02, B...

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