• Corpus ID: 118170602

Stacks associated to abelian tensor categories

@article{Liu2012StacksAT,
  title={Stacks associated to abelian tensor categories},
  author={Yu-Han Liu and Hsian-hua Tseng},
  journal={arXiv: Algebraic Geometry},
  year={2012}
}
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 sheaves. In another application, we show how the "dual stack" of the classifying stack $BG$ of a finite group $G$ can be obtained by altering the tensor product on the category $\rep{G}$ of $G$-representations. Using glueing techniques we show that the dual pair of a $G$-gerbe, in the sense of [TT10… 
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