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arXiv · 2101.04404

Uniqueness of enhancements for derived and geometric categories

Alberto Canonaco·Amnon Neeman·Paolo Stellari
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Abstract

We prove that the derived categories of abelian categories have unique enhancements -- all of them, the unbounded, bounded, bounded above and bounded below derived categories. The unseparated and left completed derived categories of a Grothendieck abelian category are also shown to have unique enhancements. Finally we show that the derived category of complexes with quasi-coherent cohomology and the category of perfect complexes have unique enhancements for quasi-compact and quasi-separated schemes.

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Alberto Canonaco, Amnon Neeman, Paolo Stellari. 2021-01-12. Uniqueness of enhancements for derived and geometric categories. https://arxiv.org/abs/2101.04404

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