Tilting complexes and codimension functions over commutative Noetherian rings (Q6619983)

In the derived category of a commutative noetherian ring, the authors explicitly construct a silting object associated with each sp-filtration of the Zariski spectrum satisfying the ``slice'' condition. Their new construction is based on local cohomology and it allows them to study when the silting object is tilting. For a ring admitting a dualizing complex, this occurs precisely when the sp-filtration arises from a codimension function on the spectrum. In the absence of a dualizing complex, the situation is more delicate and the tilting property is closely related to the condition that the ring is a homomorphic image of a Cohen-Macaulay ring. They also provide dual versions of their results in the cosilting case.