Dualizing Complexes
摘要
In this chapter we treat some fundamental equivalences and dualities of subcategories of derived categories. The more important ones, in the context of this book, involve a so-called dualizing complex. In a nutshell, a dualizing complex is a computational gadget that in the derived category of a Noetherian ring allows one to mimic the isomorphism of a finite rank vector space over a field to its double dual space.