• 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}
}
• Published 1 June 2012
• Mathematics
• arXiv: Algebraic Geometry
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…
3 Citations
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Australian Research CouncilAustralian Research Council [DE150101799]; Goran Gustafsson foundation; Swedish Research CouncilSwedish Research Council [2011-5599, 2015-05554]

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