On compactly generated torsion pairs and the classification of co-$t$-structures for commutative noetherian rings

Jan Šťovíček, David Pospíšil
2015 Transactions of the American Mathematical Society  
We classify compactly generated co-t-structures on the derived category of a commutative noetherian ring. In order to accomplish that, 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
more » ... s of the canonical co-t-structure and use this to describe all silting objects in the category.
doi:10.1090/tran/6561 fatcat:vwtmib3aofecfgzzoherybsngq