Construction of t-structures and equivalences of derived categories
arXiv:math/0203009
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.
Proof of 6.5 clarified, to appear in Trans. A.M.S., 22 pages