4 papers
The HRS tilting process and Grothendieck hearts of t-structures
Carlos E. Parra, Manuel Saorín
In this paper we revisit the problem of determining when the heart of a t-structure is a Grothendieck category, with special attention to the case of the Happel-Reiten-Smalø (HSR)…
Torsion pairs in categories of modules over a preadditive category
Manuel Saorín, Carlos Parra, Simone Virili
It is a result of Gabriel that hereditary torsion pairs in categories of modules are in bijection with certain filters of ideals of the base ring, called Gabriel filters or Gabriel…
Degenerating in Triangulated Categories
Manuel Saorín, Alexander Zimmermann
In previous work, based on work of Zwara and Yoshino, we defined and studied degenerations of objects in triangulated categories analogous to degeneration of modules. In triangulat…
Contractibility of the stability manifold for silting-discrete algebras
David Pauksztello, Manuel Saorín, Alexandra Zvonareva
We show that any bounded t-structure in the bounded derived category of a silting-discrete algebra is algebraic, i.e. has a length heart with finitely many simple objects. As a cor…