25 citations · 102 across the 10 of their papers we have counts for
6 papers · 1 filter
-Structures with Grothendieck hearts via functor categories
Manuel Saorín, Jan Šťovíček
We study when the heart of a t-structure in a triangulated category with coproducts is AB5 or a Grothendieck category. If satisfies Brown representabili…
Locally finitely presented and coherent hearts
Carlos E. Parra, Manuel Saorín, Simone Virili
Starting with a Grothendieck category and a torsion pair in , we study the local finite presentability and local co…
-Structures on stable derivators and Grothendieck hearts
Manuel Saorín, Jan Šťovíček, Simone Virili
We prove that given any strong, stable derivator and a -structure on its base triangulated category , the -structure canonically lifts to all the (coherent) diagram c…
On locally coherent hearts
Manuel Saorín
We show that, under particular conditions, if a t-structure in the unbounded derived category of a locally coherent Grothendieck category restricts to the bounded derived category…
Addendum to 'Direct limits in the heart of a t-structure: The case of a torsion pair'
Carlos E. Parra, Manuel Saorín
Let be a Grothendieck category, let be a torsion pair in and let $(\mathcal{U}_\mathbf{t},\mathcal{W}_\mathbf{t})…
Hearts of t-structures in the derived category of a commutative Noetherian ring
Carlos E. Parra, Manuel Saorín
Let be a commutative Noetherian ring and let be its (unbounded) derived category. We show that all compactly generated t-structures in associate…