Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6424984 | Advances in Mathematics | 2016 | 49 Pages |
Abstract
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 DbA with heart H. We investigate when the natural embedding HâDbA can be extended to a triangle equivalence DbHâDbA. 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Donald Stanley, Adam-Christiaan van Roosmalen,