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

@article{ovek2015OnCG,
title={On compactly generated torsion pairs and the classification of co--structures for commutative noetherian rings},
author={J. {\vS}ťov{\'i}{\vc}ek and David Posp{\'i}{\vs}il},
journal={Transactions of the American Mathematical Society},
year={2015},
volume={368},
pages={6325-6361}
}
• Published 2015
• Mathematics
• 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… Expand
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