ON COMPACTLY GENERATED TORSION PAIRS AND THE CLASSIFICATION OF CO-t-STRUCTURES FOR COMMUTATIVE NOETHERIAN RINGS
2016
Abstract
We classify compactly generated co-t-structures on the derived category of a commutative noetherian ring. In order to accomplish this, we develop a theory for compactly generated Hom-orthogonal pairs (also known as torsion pairs in the literature) in triangulated categories that resembles Bousfield localization theory.
Finally, we show that the category of perfect complexes over a connected commutative noetherian ring admits only the trivial co-t-structures and (de) suspensions of the canonical co-t-structure and use this to describe all silting objects in the category.