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Construction of t-structures and equivalences of derived categories

Leovigildo Alonso·Ana Jeremias·Ma. -Jose Souto
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Abstract

We associate a t-structure to a family of objects in D(A), the derived category of a Grothendieck category A. Using general results on t-structures, we give a new proof of Rickard's theorem on equivalence of bounded derived categories of modules. Also, we extend this result to bounded derived categories of quasi-coherent sheaves on separated divisorial schemes obtaining, in particular, Beilinson's equivalences.

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Leovigildo Alonso, Ana Jeremias, Ma. -Jose Souto. 2002-10-22. Construction of t-structures and equivalences of derived categories. https://arxiv.org/abs/math/0203009

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