Parametrizing torsion pairs in derived categories

We investigate parametrizations of compactly generated t-structures, or more generally, t-structures with a definable coaisle, in the unbounded derived category D ( mathvariant="normal">M mathvariant="normal">o mathvariant="normal">d - A stretchy="false">) \mathrm {D}({\mathrm {Mod}}\text {-}A) ring alttext="upper A"> encoding="application/x-tex">A . To this end, we provide construction from chains lattice epimorphisms starting , which is natural extension subsets Zariski spectrum known for commutative noetherian case. also constructions silting and cosilting objects This leads us to classification results over some classes rings finite dimensional hereditary algebras.