On compactly generated torsion pairs and the classification of co-t-structures for commutative noetherian ringsReport as inadecuate



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


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We classify compactly generated co-t-structures in 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 desuspensions of the canonical co-t-structure and use this to describe all silting objects in the category.



Author: Jan Stovicek; David Pospisil

Source: https://archive.org/







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