ScalingStacks

0NW4

Remark 1.8. The theorem is a direct generalization of a result of Hinich [H]. He proves that for XX a Deligne-Mumford stack admitting an affine orbifold chart, the Drinfeld center of the (abelian) tensor category of quasi-coherent sheaves on XX is equivalent to the category of quasi-coherent sheaves on the inertia orbifold of XX (with braided monoidal structure coming from convolution). One can recover this from the above theorem by passing to the hearts of the natural tt-structures.

Original mathematics by the credited authors. Source collection and HTML conversion remain in progress.

David Ben-Zvi, John Francis, David Nadler

Original source: arXiv:0805.0157v5