Derived equivalences for hereditary Artin algebras.

We study the role of the Serre functor in the theory of derived equivalences. Let A be an abelian category and let ( U , V ) be a t -structure on the bounded derived category D b A with heart H . We investigate when the natural embedding H → D b A can be extended to a triangle equivalence D b H → D b A . Our focus of study is the case where A is the category of finite-dimensional modules over a finite-dimensional hereditary algebra. In this case, we prove that such an extension exists if and only if the t -structure is bounded and the aisle U of the t -structure is closed under the Serre functor. [ABSTRACT FROM AUTHOR]