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arxiv: 0905.1444 · v2 · pith:XTTZSSQWnew · submitted 2009-05-11 · 🧮 math.AG · math.CT· math.RA

Hochschild dimensions of tilting objects

classification 🧮 math.AG math.CTmath.RA
keywords tiltingboundcasescategorycoherentconjecturederiveddimension
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We give a new upper bound for the generation time of a tilting object and use it to verify, in some new cases, a conjecture of Orlov on the Rouquier dimension of the derived category of coherent sheaves on a smooth variety.

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